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13163904 = 273313293
BaseRepresentation
bin110010001101…
…110110000000
3220202210111000
4302031312000
511332221104
61150052000
7216614505
oct62156600
926683430
1013163904
117481266
1244aa000
13295b9c0
141a694ac
151250639
hexc8dd80

13163904 has 128 divisors (see below), whose sum is σ = 41983200. Its totient is φ = 4036608.

The previous prime is 13163879. The next prime is 13163963. The reversal of 13163904 is 40936131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 12.

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, 44782 + ... + 45074.

Almost surely, 213163904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13163904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20991600).

13163904 is an abundant number, since it is smaller than the sum of its proper divisors (28819296).

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

13163904 is a wasteful number, since it uses less digits than its factorization.

13163904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 13163904 is about 3628.2094757607. The cubic root of 13163904 is about 236.1175321878.

The spelling of 13163904 in words is "thirteen million, one hundred sixty-three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 293 312 351 384 416 432 468 576 586 624 702 832 864 879 936 1152 1172 1248 1404 1664 1728 1758 1872 2344 2496 2637 2808 3456 3516 3744 3809 4688 4992 5274 5616 7032 7488 7618 7911 9376 10548 11232 11427 14064 14976 15236 15822 18752 21096 22464 22854 28128 30472 31644 34281 37504 42192 44928 45708 56256 60944 63288 68562 84384 91416 102843 112512 121888 126576 137124 168768 182832 205686 243776 253152 274248 337536 365664 411372 487552 506304 548496 731328 822744 1012608 1096992 1462656 1645488 2193984 3290976 4387968 6581952 13163904