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13957504 = 271123431
BaseRepresentation
bin110101001111…
…100110000000
3222021010002121
4311033212000
512033120004
61215054024
7226431301
oct65174600
928233077
1013957504
117973530
124811314
132b78ca2
141bd47a8
15135a854
hexd4f980

13957504 has 64 divisors (see below), whose sum is σ = 31726080. Its totient is φ = 6054400.

The previous prime is 13957477. The next prime is 13957513. The reversal of 13957504 is 40575931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 13957504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 32169 + ... + 32599.

It is an arithmetic number, because the mean of its divisors is an integer number (495720).

Almost surely, 213957504 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 13957504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15863040).

13957504 is an abundant number, since it is smaller than the sum of its proper divisors (17768576).

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

13957504 is a wasteful number, since it uses less digits than its factorization.

13957504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The square root of 13957504 is about 3735.9743039802. The cubic root of 13957504 is about 240.7701187706.

The spelling of 13957504 in words is "thirteen million, nine hundred fifty-seven thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 23 32 44 46 64 88 92 128 176 184 253 352 368 431 506 704 736 862 1012 1408 1472 1724 2024 2944 3448 4048 4741 6896 8096 9482 9913 13792 16192 18964 19826 27584 32384 37928 39652 55168 75856 79304 109043 151712 158608 218086 303424 317216 436172 606848 634432 872344 1268864 1744688 3489376 6978752 13957504