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13310304 = 253729683
BaseRepresentation
bin110010110001…
…100101100000
3221001020022020
4302301211200
511401412204
61153141440
7221064360
oct62614540
927036266
1013310304
117571257
12455a880
1329b0527
141aa69a0
15127dbd9
hexcb1960

13310304 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 3666432.

The previous prime is 13310293. The next prime is 13310321. The reversal of 13310304 is 40301331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19147 + ... + 19829.

It is an arithmetic number, because the mean of its divisors is an integer number (430920).

Almost surely, 213310304 is an apocalyptic number.

13310304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13310304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13310304 is an abundant number, since it is smaller than the sum of its proper divisors (28058016).

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

13310304 is a wasteful number, since it uses less digits than its factorization.

13310304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 13310304 is about 3648.3289325388. The cubic root of 13310304 is about 236.9896201546.

Adding to 13310304 its reverse (40301331), we get a palindrome (53611635).

The spelling of 13310304 in words is "thirteen million, three hundred ten thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 683 696 812 928 1218 1366 1392 1624 2049 2436 2732 2784 3248 4098 4781 4872 5464 6496 8196 9562 9744 10928 14343 16392 19124 19488 19807 21856 28686 32784 38248 39614 57372 59421 65568 76496 79228 114744 118842 138649 152992 158456 229488 237684 277298 316912 415947 458976 475368 554596 633824 831894 950736 1109192 1663788 1901472 2218384 3327576 4436768 6655152 13310304