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13113960 = 23351031061
BaseRepresentation
bin110010000001…
…101001101000
3220200020222020
4302001221220
511324121320
61145024440
7216316056
oct62015150
926606866
1013113960
117447792
124485120
132942052
141a551d6
151240940
hexc81a68

13113960 has 64 divisors (see below), whose sum is σ = 39761280. Its totient is φ = 3459840.

The previous prime is 13113931. The next prime is 13113983. The reversal of 13113960 is 6931131.

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 13113960.

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, 11830 + ... + 12890.

It is an arithmetic number, because the mean of its divisors is an integer number (621270).

Almost surely, 213113960 is an apocalyptic number.

13113960 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 13113960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19880640).

13113960 is an abundant number, since it is smaller than the sum of its proper divisors (26647320).

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

13113960 is a wasteful number, since it uses less digits than its factorization.

13113960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1178 (or 1174 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 24.

The square root of 13113960 is about 3621.3202012526. The cubic root of 13113960 is about 235.8185428869.

The spelling of 13113960 in words is "thirteen million, one hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1061 1236 1545 2060 2122 2472 3090 3183 4120 4244 5305 6180 6366 8488 10610 12360 12732 15915 21220 25464 31830 42440 63660 109283 127320 218566 327849 437132 546415 655698 874264 1092830 1311396 1639245 2185660 2622792 3278490 4371320 6556980 13113960