Search a number
-
+
13157856 = 253397157
BaseRepresentation
bin110010001100…
…010111100000
3220202111012000
4302030113200
511332022411
61150004000
7216561045
oct62142740
926674160
1013157856
117477768
1244a6600
13295901a
141a671cc
15124d956
hexc8c5e0

13157856 has 96 divisors (see below), whose sum is σ = 39019680. Its totient is φ = 4313088.

The previous prime is 13157839. The next prime is 13157867. The reversal of 13157856 is 65875131.

13157856 is a `hidden beast` number, since 1 + 31 + 578 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 13157856.

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, 83730 + ... + 83886.

It is an arithmetic number, because the mean of its divisors is an integer number (406455).

Almost surely, 213157856 is an apocalyptic number.

13157856 is a gapful number since it is divisible by the number (16) 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 13157856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19509840).

13157856 is an abundant number, since it is smaller than the sum of its proper divisors (25861824).

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

13157856 is a wasteful number, since it uses less digits than its factorization.

13157856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273 (or 259 counting only the distinct ones).

The product of its digits is 25200, while the sum is 36.

The square root of 13157856 is about 3627.3759110409. The cubic root of 13157856 is about 236.0813661794.

The spelling of 13157856 in words is "thirteen million, one hundred fifty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 97 108 144 157 194 216 288 291 314 388 432 471 582 628 776 864 873 942 1164 1256 1413 1552 1746 1884 2328 2512 2619 2826 3104 3492 3768 4239 4656 5024 5238 5652 6984 7536 8478 9312 10476 11304 13968 15072 15229 16956 20952 22608 27936 30458 33912 41904 45216 45687 60916 67824 83808 91374 121832 135648 137061 182748 243664 274122 365496 411183 487328 548244 730992 822366 1096488 1461984 1644732 2192976 3289464 4385952 6578928 13157856