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14760964 = 221721132
BaseRepresentation
bin111000010011…
…110000000100
31000202221020101
4320103300010
512234322324
61244213444
7236315611
oct70236004
930687211
1014760964
118372149
124b3a284
13309a8ca
141d63508
151468944
hexe13c04

14760964 has 27 divisors (see below), whose sum is σ = 27685567. Its totient is φ = 6884864.

The previous prime is 14760953. The next prime is 14760973. The reversal of 14760964 is 46906741.

The square root of 14760964 is 3842.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 1800964 + 12960000 = 1342^2 + 3600^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130572 + ... + 130684.

Almost surely, 214760964 is an apocalyptic number.

14760964 is the 3842-nd square number.

It is an amenable number.

14760964 is a deficient number, since it is larger than the sum of its proper divisors (12924603).

14760964 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (14760963) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (264).

14760964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The cubic root of 14760964 is about 245.3041564690.

The spelling of 14760964 in words is "fourteen million, seven hundred sixty thousand, nine hundred sixty-four".

Divisors: 1 2 4 17 34 68 113 226 289 452 578 1156 1921 3842 7684 12769 25538 32657 51076 65314 130628 217073 434146 868292 3690241 7380482 14760964