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13806936 = 23341113149
BaseRepresentation
bin110100101010…
…110101011000
3221222110120000
4310222311120
512013310221
61211533000
7225233313
oct64526530
927873500
1013806936
1178803a0
12475a160
132b255b0
141b9597a
15132ae26
hexd2ad58

13806936 has 160 divisors (see below), whose sum is σ = 45738000. Its totient is φ = 3836160.

The previous prime is 13806931. The next prime is 13806943. The reversal of 13806936 is 63960831.

13806936 = T143 + T144 + ... + T440.

It is a happy number.

13806936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 13806936.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13806931) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92590 + ... + 92738.

Almost surely, 213806936 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 13806936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22869000).

13806936 is an abundant number, since it is smaller than the sum of its proper divisors (31931064).

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

13806936 is a wasteful number, since it uses less digits than its factorization.

13806936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 13806936 is about 3715.7685611459. The cubic root of 13806936 is about 239.9012093406.

The spelling of 13806936 in words is "thirteen million, eight hundred six thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 149 156 162 198 216 234 264 286 297 298 312 324 351 396 429 447 468 572 594 596 648 702 792 858 891 894 936 1053 1144 1188 1192 1287 1341 1404 1639 1716 1782 1788 1937 2106 2376 2574 2682 2808 3278 3432 3564 3576 3861 3874 4023 4212 4917 5148 5364 5811 6556 7128 7722 7748 8046 8424 9834 10296 10728 11583 11622 12069 13112 14751 15444 15496 16092 17433 19668 21307 23166 23244 24138 29502 30888 32184 34866 39336 42614 44253 46332 46488 48276 52299 59004 63921 69732 85228 88506 92664 96552 104598 118008 127842 132759 139464 156897 170456 177012 191763 209196 255684 265518 313794 354024 383526 418392 511368 531036 575289 627588 767052 1062072 1150578 1255176 1534104 1725867 2301156 3451734 4602312 6903468 13806936