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13702572 = 223213192367
BaseRepresentation
bin110100010001…
…010110101100
3221210011101200
4310101112230
512001440242
61205405500
7224320122
oct64212654
927704350
1013702572
117809a44
124709890
132ab9c40
141b69912
15130a04c
hexd115ac

13702572 has 144 divisors (see below), whose sum is σ = 41583360. Its totient is φ = 3763584.

The previous prime is 13702547. The next prime is 13702583. The reversal of 13702572 is 27520731.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204483 + ... + 204549.

Almost surely, 213702572 is an apocalyptic number.

13702572 is a gapful number since it is divisible by the number (12) 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 13702572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20791680).

13702572 is an abundant number, since it is smaller than the sum of its proper divisors (27880788).

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

13702572 is a wasteful number, since it uses less digits than its factorization.

13702572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 13702572 is about 3701.6985290539. The cubic root of 13702572 is about 239.2952240712.

The spelling of 13702572 in words is "thirteen million, seven hundred two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 23 26 36 38 39 46 52 57 67 69 76 78 92 114 117 134 138 156 171 201 207 228 234 247 268 276 299 342 402 414 437 468 494 598 603 684 741 804 828 871 874 897 988 1196 1206 1273 1311 1482 1541 1742 1748 1794 2223 2412 2546 2613 2622 2691 2964 3082 3484 3588 3819 3933 4446 4623 5092 5226 5244 5382 5681 6164 7638 7839 7866 8892 9246 10452 10764 11362 11457 13869 15276 15678 15732 16549 17043 18492 20033 22724 22914 27738 29279 31356 33098 34086 40066 45828 49647 51129 55476 58558 60099 66196 68172 80132 87837 99294 102258 117116 120198 148941 175674 180297 198588 204516 240396 263511 297882 351348 360594 380627 527022 595764 721188 761254 1054044 1141881 1522508 2283762 3425643 4567524 6851286 13702572