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13525080 = 2335412749
BaseRepresentation
bin110011100110…
…000001011000
3221110010220220
4303212001120
511430300310
61201520040
7222650502
oct63460130
927403826
1013525080
1176a8658
124643020
132a5720a
141b20d72
1512c2670
hexce6058

13525080 has 64 divisors (see below), whose sum is σ = 41580000. Its totient is φ = 3517440.

The previous prime is 13525027. The next prime is 13525111. The reversal of 13525080 is 8052531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13525080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3546 + ... + 6294.

Almost surely, 213525080 is an apocalyptic number.

13525080 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 13525080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20790000).

13525080 is an abundant number, since it is smaller than the sum of its proper divisors (28054920).

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

13525080 is a wasteful number, since it uses less digits than its factorization.

13525080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2804 (or 2800 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 13525080 is about 3677.6459862254. The cubic root of 13525080 is about 238.2575184983.

The spelling of 13525080 in words is "thirteen million, five hundred twenty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 41 60 82 120 123 164 205 246 328 410 492 615 820 984 1230 1640 2460 2749 4920 5498 8247 10996 13745 16494 21992 27490 32988 41235 54980 65976 82470 109960 112709 164940 225418 329880 338127 450836 563545 676254 901672 1127090 1352508 1690635 2254180 2705016 3381270 4508360 6762540 13525080