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13937152 = 29163167
BaseRepresentation
bin110101001010…
…101000000000
3222020002011211
4311022220000
512031442102
61214415504
7226315045
oct65125000
928202154
1013937152
11795a209
124801594
132b6c948
141bcb1cc
1513547d7
hexd4aa00

13937152 has 40 divisors (see below), whose sum is σ = 28185696. Its totient is φ = 6884352.

The previous prime is 13937137. The next prime is 13937153. The reversal of 13937152 is 25173931.

It is a super-2 number, since 2×139371522 = 388488411742208, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13937153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 83373 + ... + 83539.

Almost surely, 213937152 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 13937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14092848).

13937152 is an abundant number, since it is smaller than the sum of its proper divisors (14248544).

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

13937152 is an equidigital number, since it uses as much as digits as its factorization.

13937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348 (or 332 counting only the distinct ones).

The product of its digits is 5670, while the sum is 31.

The square root of 13937152 is about 3733.2495228688. The cubic root of 13937152 is about 240.6530363015.

The spelling of 13937152 in words is "thirteen million, nine hundred thirty-seven thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 32 64 128 163 167 256 326 334 512 652 668 1304 1336 2608 2672 5216 5344 10432 10688 20864 21376 27221 41728 42752 54442 83456 85504 108884 217768 435536 871072 1742144 3484288 6968576 13937152