Search a number
-
+
13087680 = 263513633
BaseRepresentation
bin110001111011…
…001111000000
3220121220220220
4301323033000
511322301210
61144303040
7216146334
oct61731700
926556826
1013087680
117429a71
124471a80
1329330b8
141a497c4
151237c70
hexc7b3c0

13087680 has 56 divisors (see below), whose sum is σ = 41556432. Its totient is φ = 3489792.

The previous prime is 13087649. The next prime is 13087687. The reversal of 13087680 is 8678031.

13087680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13087687) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5857 + ... + 7776.

Almost surely, 213087680 is an apocalyptic number.

13087680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13087680 is an abundant number, since it is smaller than the sum of its proper divisors (28468752).

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

13087680 is a wasteful number, since it uses less digits than its factorization.

13087680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13653 (or 13643 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 13087680 is about 3617.6898706219. The cubic root of 13087680 is about 235.6609130109.

The spelling of 13087680 in words is "thirteen million, eighty-seven thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 13633 27266 40899 54532 68165 81798 109064 136330 163596 204495 218128 272660 327192 408990 436256 545320 654384 817980 872512 1090640 1308768 1635960 2181280 2617536 3271920 4362560 6543840 13087680