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13925088 = 253371227
BaseRepresentation
bin110101000111…
…101011100000
3222012110122000
4311013223200
512031100323
61214244000
7226234632
oct65075340
928173560
1013925088
117951141
1247b6600
132b672c8
141bc6a52
151350e43
hexd47ae0

13925088 has 96 divisors (see below), whose sum is σ = 41368320. Its totient is φ = 4556160.

The previous prime is 13925083. The next prime is 13925089. The reversal of 13925088 is 88052931.

13925088 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13925083) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 61231 + ... + 61457.

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

Almost surely, 213925088 is an apocalyptic number.

13925088 is a gapful number since it is divisible by the number (18) 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 13925088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20684160).

13925088 is an abundant number, since it is smaller than the sum of its proper divisors (27443232).

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

13925088 is a wasteful number, since it uses less digits than its factorization.

13925088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 303 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 13925088 is about 3731.6334225108. The cubic root of 13925088 is about 240.5835798273.

The spelling of 13925088 in words is "thirteen million, nine hundred twenty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 96 108 142 144 213 216 227 284 288 426 432 454 568 639 681 852 864 908 1136 1278 1362 1704 1816 1917 2043 2272 2556 2724 3408 3632 3834 4086 5112 5448 6129 6816 7264 7668 8172 10224 10896 12258 15336 16117 16344 20448 21792 24516 30672 32234 32688 48351 49032 61344 64468 65376 96702 98064 128936 145053 193404 196128 257872 290106 386808 435159 515744 580212 773616 870318 1160424 1547232 1740636 2320848 3481272 4641696 6962544 13925088