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12928760 = 2351323247
BaseRepresentation
bin110001010100…
…011011111000
3220022211220222
4301110123320
511302210020
61141035212
7214615115
oct61243370
926284828
1012928760
117330629
1243b5b08
1328a8970
141a0790c
151205b25
hexc546f8

12928760 has 96 divisors (see below), whose sum is σ = 33445440. Its totient is φ = 4468992.

The previous prime is 12928757. The next prime is 12928813. The reversal of 12928760 is 6782921.

It is a happy number.

12928760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 12928760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 275057 + ... + 275103.

It is an arithmetic number, because the mean of its divisors is an integer number (348390).

Almost surely, 212928760 is an apocalyptic number.

12928760 is a gapful number since it is divisible by the number (10) 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 12928760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16722720).

12928760 is an abundant number, since it is smaller than the sum of its proper divisors (20516680).

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

12928760 is a wasteful number, since it uses less digits than its factorization.

12928760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 35.

The square root of 12928760 is about 3595.6584932388. The cubic root of 12928760 is about 234.7031713326.

The spelling of 12928760 in words is "twelve million, nine hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 23 26 40 46 47 52 65 92 94 104 115 130 184 188 230 235 260 299 376 460 470 520 529 598 611 920 940 1058 1081 1196 1222 1495 1880 2116 2162 2392 2444 2645 2990 3055 4232 4324 4888 5290 5405 5980 6110 6877 8648 10580 10810 11960 12220 13754 14053 21160 21620 24440 24863 27508 28106 34385 43240 49726 55016 56212 68770 70265 99452 112424 124315 137540 140530 198904 248630 275080 281060 323219 497260 562120 646438 994520 1292876 1616095 2585752 3232190 6464380 12928760