Search a number
-
+
13730856 = 2336183113
BaseRepresentation
bin110100011000…
…010000101000
3221211121012020
4310120100220
512003341411
61210144440
7224465436
oct64302050
927747166
1013730856
117829217
124722120
132ac9a89
141b75d56
151313606
hexd18428

13730856 has 64 divisors (see below), whose sum is σ = 35622720. Its totient is φ = 4408320.

The previous prime is 13730851. The next prime is 13730867. The reversal of 13730856 is 65803731.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (13730851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121456 + ... + 121568.

It is an arithmetic number, because the mean of its divisors is an integer number (556605).

Almost surely, 213730856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13730856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17811360).

13730856 is an abundant number, since it is smaller than the sum of its proper divisors (21891864).

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

13730856 is a wasteful number, since it uses less digits than its factorization.

13730856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 13730856 is about 3705.5169679817. The cubic root of 13730856 is about 239.4597570411.

The spelling of 13730856 in words is "thirteen million, seven hundred thirty thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 24 61 83 113 122 166 183 226 244 249 332 339 366 452 488 498 664 678 732 904 996 1356 1464 1992 2712 5063 6893 9379 10126 13786 15189 18758 20252 20679 27572 28137 30378 37516 40504 41358 55144 56274 60756 75032 82716 112548 121512 165432 225096 572119 1144238 1716357 2288476 3432714 4576952 6865428 13730856