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13310960 = 2451312799
BaseRepresentation
bin110010110001…
…101111110000
3221001021012112
4302301233300
511401422320
61153144452
7221066315
oct62615760
927037175
1013310960
1175717a3
12455b128
1329b0910
141aa6d0c
15127dec5
hexcb1bf0

13310960 has 40 divisors (see below), whose sum is σ = 33331200. Its totient is φ = 4914432.

The previous prime is 13310939. The next prime is 13310989. The reversal of 13310960 is 6901331.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×133109602 = 354363312243200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5360 + ... + 7439.

It is an arithmetic number, because the mean of its divisors is an integer number (833280).

Almost surely, 213310960 is an apocalyptic number.

13310960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13310960 is an abundant number, since it is smaller than the sum of its proper divisors (20020240).

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

13310960 is a wasteful number, since it uses less digits than its factorization.

13310960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12825 (or 12819 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 23.

The square root of 13310960 is about 3648.4188356054. The cubic root of 13310960 is about 236.9935134450.

The spelling of 13310960 in words is "thirteen million, three hundred ten thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 12799 25598 51196 63995 102392 127990 166387 204784 255980 332774 511960 665548 831935 1023920 1331096 1663870 2662192 3327740 6655480 13310960