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13152960 = 263254567
BaseRepresentation
bin110010001011…
…001011000000
3220202020110200
4302023023000
511331343320
61145525200
7216540552
oct62131300
926666420
1013152960
117474017
1244a3800
132956a22
141a654d2
15124c290
hexc8b2c0

13152960 has 84 divisors (see below), whose sum is σ = 45250608. Its totient is φ = 3506688.

The previous prime is 13152949. The next prime is 13152961. The reversal of 13152960 is 6925131.

13152960 is a `hidden beast` number, since 131 + 529 + 6 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (13152961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 597 + ... + 5163.

Almost surely, 213152960 is an apocalyptic number.

13152960 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 13152960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22625304).

13152960 is an abundant number, since it is smaller than the sum of its proper divisors (32097648).

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

13152960 is a wasteful number, since it uses less digits than its factorization.

13152960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4590 (or 4577 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 13152960 is about 3626.7009802298. The cubic root of 13152960 is about 236.0520808165.

The spelling of 13152960 in words is "thirteen million, one hundred fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 4567 9134 13701 18268 22835 27402 36536 41103 45670 54804 68505 73072 82206 91340 109608 137010 146144 164412 182680 205515 219216 274020 292288 328824 365360 411030 438432 548040 657648 730720 822060 876864 1096080 1315296 1461440 1644120 2192160 2630592 3288240 4384320 6576480 13152960