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BaseRepresentation
bin10110110100
32000002
4112310
521320
610432
74154
oct2664
92002
101460
111108
12a18
13884
14764
15675
hex5b4

1460 has 12 divisors (see below), whose sum is σ = 3108. Its totient is φ = 576.

The previous prime is 1459. The next prime is 1471. The reversal of 1460 is 641.

1460 = T19 + T20 + ... + T24.

1460 is nontrivially palindromic in base 3 and base 9.

It can be written as a sum of positive squares in 2 ways, for example, as 676 + 784 = 26^2 + 28^2 .

It is a nialpdrome in base 13 and base 14.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17 + ... + 56.

It is an arithmetic number, because the mean of its divisors is an integer number (259).

1460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1460 is an abundant number, since it is smaller than the sum of its proper divisors (1648).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554).

1460 is a wasteful number, since it uses less digits than its factorization.

1460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 1460 is about 38.2099463491. The cubic root of 1460 is about 11.3444719404.

The spelling of 1460 in words is "one thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 73 146 292 365 730 1460