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13886964 = 2235713157
BaseRepresentation
bin110100111110…
…010111110100
3222010112100000
4310332113310
512023340324
61213351300
7226015530
oct64762764
928115300
1013886964
117925533
124798530
132b52b50
141bb6bc0
1513449c9
hexd3e5f4

13886964 has 144 divisors (see below), whose sum is σ = 45089408. Its totient is φ = 3639168.

The previous prime is 13886933. The next prime is 13886981. The reversal of 13886964 is 46968831.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 88374 + ... + 88530.

Almost surely, 213886964 is an apocalyptic number.

13886964 is a gapful number since it is divisible by the number (14) 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 13886964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22544704).

13886964 is an abundant number, since it is smaller than the sum of its proper divisors (31202444).

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

13886964 is a wasteful number, since it uses less digits than its factorization.

13886964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 13886964 is about 3726.5217026069. The cubic root of 13886964 is about 240.3638231908.

The spelling of 13886964 in words is "thirteen million, eight hundred eighty-six thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 81 84 91 108 117 126 156 157 162 182 189 234 243 252 273 314 324 351 364 378 468 471 486 546 567 628 702 756 819 942 972 1053 1092 1099 1134 1404 1413 1638 1701 1884 2041 2106 2198 2268 2457 2826 3159 3276 3297 3402 4082 4212 4239 4396 4914 5652 6123 6318 6594 6804 7371 8164 8478 9828 9891 12246 12636 12717 13188 14287 14742 16956 18369 19782 22113 24492 25434 28574 29484 29673 36738 38151 39564 42861 44226 50868 55107 57148 59346 73476 76302 85722 88452 89019 110214 118692 128583 152604 165321 171444 178038 220428 257166 267057 330642 356076 385749 495963 514332 534114 661284 771498 991926 1068228 1157247 1542996 1983852 2314494 3471741 4628988 6943482 13886964