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12730752 = 273243257
BaseRepresentation
bin110000100100…
…000110000000
3212221210022100
4300210012000
511224341002
61132510400
7213131616
oct60440600
925853270
1012730752
117205891
12431b400
1328397b8
1419956b6
1511b711c
hexc24180

12730752 has 96 divisors (see below), whose sum is σ = 37631880. Its totient is φ = 4128768.

The previous prime is 12730733. The next prime is 12730777. The reversal of 12730752 is 25703721.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49408 + ... + 49664.

Almost surely, 212730752 is an apocalyptic number.

12730752 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 12730752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18815940).

12730752 is an abundant number, since it is smaller than the sum of its proper divisors (24901128).

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

12730752 is a wasteful number, since it uses less digits than its factorization.

12730752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 305 counting only the distinct ones).

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

The square root of 12730752 is about 3568.0179371746. The cubic root of 12730752 is about 233.4988177550.

The spelling of 12730752 in words is "twelve million, seven hundred thirty thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 128 129 144 172 192 257 258 288 344 384 387 514 516 576 688 771 774 1028 1032 1152 1376 1542 1548 2056 2064 2313 2752 3084 3096 4112 4128 4626 5504 6168 6192 8224 8256 9252 11051 12336 12384 16448 16512 18504 22102 24672 24768 32896 33153 37008 44204 49344 49536 66306 74016 88408 98688 99459 132612 148032 176816 198918 265224 296064 353632 397836 530448 707264 795672 1060896 1414528 1591344 2121792 3182688 4243584 6365376 12730752