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13831608 = 23371729167
BaseRepresentation
bin110100110000…
…110110111000
3222000201101210
4310300312320
512020102413
61212243120
7225365250
oct64606670
928021353
1013831608
11789798a
1247704a0
132b338ab
141ba0960
1513333c3
hexd30db8

13831608 has 128 divisors (see below), whose sum is σ = 43545600. Its totient is φ = 3569664.

The previous prime is 13831607. The next prime is 13831619. The reversal of 13831608 is 80613831.

13831608 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13831603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82741 + ... + 82907.

It is an arithmetic number, because the mean of its divisors is an integer number (340200).

Almost surely, 213831608 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 13831608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21772800).

13831608 is an abundant number, since it is smaller than the sum of its proper divisors (29713992).

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

13831608 is a wasteful number, since it uses less digits than its factorization.

13831608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 13831608 is about 3719.0869847316. The cubic root of 13831608 is about 240.0440197034.

The spelling of 13831608 in words is "thirteen million, eight hundred thirty-one thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 29 34 42 51 56 58 68 84 87 102 116 119 136 167 168 174 203 204 232 238 334 348 357 406 408 476 493 501 609 668 696 714 812 952 986 1002 1169 1218 1336 1428 1479 1624 1972 2004 2338 2436 2839 2856 2958 3451 3507 3944 4008 4676 4843 4872 5678 5916 6902 7014 8517 9352 9686 10353 11356 11832 13804 14028 14529 17034 19372 19873 20706 22712 27608 28056 29058 33901 34068 38744 39746 41412 58116 59619 67802 68136 79492 82331 82824 101703 116232 119238 135604 158984 164662 203406 238476 246993 271208 329324 406812 476952 493986 576317 658648 813624 987972 1152634 1728951 1975944 2305268 3457902 4610536 6915804 13831608