1458 (number)

This article is about the number 1458. For the year AD 1458, see 1458.


← 1457 1458 1459 →
Cardinal One thousand four hundred [and] fifty-eight
Ordinal 1458th
(one thousand four hundred and fifty-eighth)
Factorization 2 × 36
Divisors 1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486, 729, 1458
Roman numeral MCDLVIII
Binary 101101100102
Ternary 20000003
Quaternary 1123024
Quinary 213135
Senary 104306
Octal 26628
Duodecimal A1612
Hexadecimal 5B216
Vigesimal 3CI20
Base 36 14I36

1458 is the integer after 1457 and before 1459.

The maximum determinant of an 11 by 11 matrix of zeroes and ones is 1458.[1]

1458 is one of three numbers which, when its base 10 digits are added together, produces a sum which, when multiplied by its reversed self, yields the original number:

1 + 4 + 5 + 8 = 18
18 × 81 = 1458

The only other non-trivial numbers with this property are 81 and 1729, as well as the trivial solutions 1 and 0.

References

  1. ↑ Hadamard, J. (1893), "Résolution d'une question relative aux déterminants", Bulletin des Sciences Mathématiques 17: 240–246
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