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13525960 = 2357267103
BaseRepresentation
bin110011100110…
…001111001000
3221110012010111
4303212033020
511430312320
61201524104
7222653200
oct63461710
927405114
1013525960
1176a9288
124643634
132a57736
141b21400
1512c2a5a
hexce63c8

13525960 has 96 divisors (see below), whose sum is σ = 36279360. Its totient is φ = 4523904.

The previous prime is 13525943. The next prime is 13525961. The reversal of 13525960 is 6952531.

13525960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13525961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131269 + ... + 131371.

It is an arithmetic number, because the mean of its divisors is an integer number (377910).

Almost surely, 213525960 is an apocalyptic number.

13525960 is a gapful number since it is divisible by the number (10) 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 13525960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18139680).

13525960 is an abundant number, since it is smaller than the sum of its proper divisors (22753400).

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

13525960 is a wasteful number, since it uses less digits than its factorization.

13525960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

The square root of 13525960 is about 3677.7656260289. The cubic root of 13525960 is about 238.2626857400.

The spelling of 13525960 in words is "thirteen million, five hundred twenty-five thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 67 70 98 103 134 140 196 206 245 268 280 335 392 412 469 490 515 536 670 721 824 938 980 1030 1340 1442 1876 1960 2060 2345 2680 2884 3283 3605 3752 4120 4690 5047 5768 6566 6901 7210 9380 10094 13132 13802 14420 16415 18760 20188 25235 26264 27604 28840 32830 34505 40376 48307 50470 55208 65660 69010 96614 100940 131320 138020 193228 201880 241535 276040 338149 386456 483070 676298 966140 1352596 1690745 1932280 2705192 3381490 6762980 13525960