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13917568 = 2773317
BaseRepresentation
bin110101000101…
…110110000000
3222012002022111
4311011312000
512030330233
61214145104
7226204000
oct65056600
928162274
1013917568
117946525
1247b2194
132b63a62
141bc4000
15134dacd
hexd45d80

13917568 has 64 divisors (see below), whose sum is σ = 32436000. Its totient is φ = 5945856.

The previous prime is 13917559. The next prime is 13917581. The reversal of 13917568 is 86571931.

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 13917568.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43746 + ... + 44062.

Almost surely, 213917568 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 13917568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218000).

13917568 is an abundant number, since it is smaller than the sum of its proper divisors (18518432).

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

13917568 is an frugal number, since it uses more digits than its factorization.

13917568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 326 counting only the distinct ones).

The product of its digits is 45360, while the sum is 40.

The square root of 13917568 is about 3730.6256847880. The cubic root of 13917568 is about 240.5402643789.

The spelling of 13917568 in words is "thirteen million, nine hundred seventeen thousand, five hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 317 343 392 448 634 686 784 896 1268 1372 1568 2219 2536 2744 3136 4438 5072 5488 6272 8876 10144 10976 15533 17752 20288 21952 31066 35504 40576 43904 62132 71008 108731 124264 142016 217462 248528 284032 434924 497056 869848 994112 1739696 1988224 3479392 6958784 13917568