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13900152 = 23371731157
BaseRepresentation
bin110101000001…
…100101111000
3222011012102110
4311001211320
512024301102
61213532320
7226102140
oct65014570
928135373
1013900152
117934432
1247a40a0
132b58b56
141bbb920
15134886c
hexd41978

13900152 has 128 divisors (see below), whose sum is σ = 43683840. Its totient is φ = 3594240.

The previous prime is 13900147. The next prime is 13900163. The reversal of 13900152 is 25100931.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 31 ways as a sum of consecutive naturals, for example, 88458 + ... + 88614.

It is an arithmetic number, because the mean of its divisors is an integer number (341280).

Almost surely, 213900152 is an apocalyptic number.

13900152 is a gapful number since it is divisible by the number (12) 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 13900152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21841920).

13900152 is an abundant number, since it is smaller than the sum of its proper divisors (29783688).

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

13900152 is a wasteful number, since it uses less digits than its factorization.

13900152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 21.

The square root of 13900152 is about 3728.2907611934. The cubic root of 13900152 is about 240.4398876969.

The spelling of 13900152 in words is "thirteen million, nine hundred thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 31 34 42 51 56 62 68 84 93 102 119 124 136 157 168 186 204 217 238 248 314 357 372 408 434 471 476 527 628 651 714 744 868 942 952 1054 1099 1256 1302 1428 1581 1736 1884 2108 2198 2604 2669 2856 3162 3297 3689 3768 4216 4396 4867 5208 5338 6324 6594 7378 8007 8792 9734 10676 11067 12648 13188 14601 14756 16014 18683 19468 21352 22134 26376 29202 29512 32028 34069 37366 38936 44268 56049 58404 64056 68138 74732 82739 88536 102207 112098 116808 136276 149464 165478 204414 224196 248217 272552 330956 408828 448392 496434 579173 661912 817656 992868 1158346 1737519 1985736 2316692 3475038 4633384 6950076 13900152