Search a number
-
+
13676796 = 2233779229
BaseRepresentation
bin110100001011…
…000011111100
3221201212001000
4310023003330
512000124141
61205050300
7224152020
oct64130374
927655030
1013676796
1177a1641
1246b6990
132aab2a3
141b60380
1513025b6
hexd0b0fc

13676796 has 96 divisors (see below), whose sum is σ = 41216000. Its totient is φ = 3841344.

The previous prime is 13676783. The next prime is 13676807. The reversal of 13676796 is 69767631.

13676796 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59610 + ... + 59838.

Almost surely, 213676796 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 13676796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20608000).

13676796 is an abundant number, since it is smaller than the sum of its proper divisors (27539204).

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

13676796 is a wasteful number, since it uses less digits than its factorization.

13676796 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 320 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 13676796 is about 3698.2152452230. The cubic root of 13676796 is about 239.1450832718.

The spelling of 13676796 in words is "thirteen million, six hundred seventy-six thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 79 84 108 126 158 189 229 237 252 316 378 458 474 553 687 711 756 916 948 1106 1374 1422 1603 1659 2061 2133 2212 2748 2844 3206 3318 4122 4266 4809 4977 6183 6412 6636 8244 8532 9618 9954 12366 14427 14931 18091 19236 19908 24732 28854 29862 36182 43281 54273 57708 59724 72364 86562 108546 126637 162819 173124 217092 253274 325638 379911 488457 506548 651276 759822 976914 1139733 1519644 1953828 2279466 3419199 4558932 6838398 13676796