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13930752 = 283111797
BaseRepresentation
bin110101001001…
…000100000000
3222012202101210
4311021010000
512031241002
61214330120
7226260303
oct65110400
928182353
1013930752
117955420
1247b9940
132b69a64
141bc8b3a
15135296c
hexd49100

13930752 has 144 divisors (see below), whose sum is σ = 43267392. Its totient is φ = 3932160.

The previous prime is 13930747. The next prime is 13930789. The reversal of 13930752 is 25703931.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143568 + ... + 143664.

It is an arithmetic number, because the mean of its divisors is an integer number (300468).

Almost surely, 213930752 is an apocalyptic number.

13930752 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 13930752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21633696).

13930752 is an abundant number, since it is smaller than the sum of its proper divisors (29336640).

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

13930752 is a wasteful number, since it uses less digits than its factorization.

13930752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The square root of 13930752 is about 3732.3922623433. The cubic root of 13930752 is about 240.6161943593.

The spelling of 13930752 in words is "thirteen million, nine hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 97 102 128 132 136 176 187 192 194 204 256 264 272 291 352 374 384 388 408 528 544 561 582 704 748 768 776 816 1056 1067 1088 1122 1164 1408 1496 1552 1632 1649 2112 2134 2176 2244 2328 2816 2992 3104 3201 3264 3298 4224 4268 4352 4488 4656 4947 5984 6208 6402 6528 6596 8448 8536 8976 9312 9894 11968 12416 12804 13056 13192 17072 17952 18139 18624 19788 23936 24832 25608 26384 34144 35904 36278 37248 39576 47872 51216 52768 54417 68288 71808 72556 74496 79152 102432 105536 108834 136576 143616 145112 158304 204864 211072 217668 273152 290224 316608 409728 422144 435336 580448 633216 819456 870672 1160896 1266432 1741344 2321792 3482688 4643584 6965376 13930752