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13932928 = 271719337
BaseRepresentation
bin110101001001…
…100110000000
3222012212101101
4311021212000
512031323203
61214344144
7226266532
oct65114600
928185341
1013932928
117957019
1247bb054
132b6aa49
141bc9852
15135341d
hexd49980

13932928 has 64 divisors (see below), whose sum is σ = 31028400. Its totient is φ = 6193152.

The previous prime is 13932889. The next prime is 13932953. The reversal of 13932928 is 82923931.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 41176 + ... + 41512.

Almost surely, 213932928 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 13932928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15514200).

13932928 is an abundant number, since it is smaller than the sum of its proper divisors (17095472).

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

13932928 is a wasteful number, since it uses less digits than its factorization.

13932928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 387 (or 375 counting only the distinct ones).

The product of its digits is 23328, while the sum is 37.

The square root of 13932928 is about 3732.6837530120. The cubic root of 13932928 is about 240.6287218854.

It can be divided in two parts, 1393 and 2928, that multiplied together give a palindrome (4078704).

The spelling of 13932928 in words is "thirteen million, nine hundred thirty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 16 17 19 32 34 38 64 68 76 128 136 152 272 304 323 337 544 608 646 674 1088 1216 1292 1348 2176 2432 2584 2696 5168 5392 5729 6403 10336 10784 11458 12806 20672 21568 22916 25612 41344 43136 45832 51224 91664 102448 108851 183328 204896 217702 366656 409792 435404 733312 819584 870808 1741616 3483232 6966464 13932928