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13056480 = 253259067
BaseRepresentation
bin110001110011…
…100111100000
3220120100010100
4301303213200
511320301410
61143502400
7215656353
oct61634740
926510110
1013056480
117408588
124457a00
132921b38
141a3c29a
15122d8c0
hexc739e0

13056480 has 72 divisors (see below), whose sum is σ = 44560152. Its totient is φ = 3481344.

The previous prime is 13056437. The next prime is 13056499. The reversal of 13056480 is 8465031.

13056480 is a `hidden beast` number, since 13 + 0 + 5 + 648 + 0 = 666.

13056480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3094 + ... + 5973.

It is an arithmetic number, because the mean of its divisors is an integer number (618891).

Almost surely, 213056480 is an apocalyptic number.

13056480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13056480 is an abundant number, since it is smaller than the sum of its proper divisors (31503672).

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

13056480 is a wasteful number, since it uses less digits than its factorization.

13056480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9088 (or 9077 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 13056480 is about 3613.3751535095. The cubic root of 13056480 is about 235.4734983092.

The spelling of 13056480 in words is "thirteen million, fifty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 9067 18134 27201 36268 45335 54402 72536 81603 90670 108804 136005 145072 163206 181340 217608 272010 290144 326412 362680 408015 435216 544020 652824 725360 816030 870432 1088040 1305648 1450720 1632060 2176080 2611296 3264120 4352160 6528240 13056480