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12894024 = 23311132172
BaseRepresentation
bin110001001011…
…111101001000
3220021002021110
4301023331020
511300102044
61140210320
7214411623
oct61137510
926232243
1012894024
117307520
1243999a0
132895c00
1419d8dba
1511ea6b9
hexc4bf48

12894024 has 144 divisors (see below), whose sum is σ = 40450320. Its totient is φ = 3394560.

The previous prime is 12894017. The next prime is 12894043. The reversal of 12894024 is 42049821.

12894024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12893982 and 12894000.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 758464 + ... + 758480.

It is an arithmetic number, because the mean of its divisors is an integer number (280905).

Almost surely, 212894024 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 12894024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20225160).

12894024 is an abundant number, since it is smaller than the sum of its proper divisors (27556296).

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

12894024 is a wasteful number, since it uses less digits than its factorization.

12894024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 12894024 is about 3590.8249748491. The cubic root of 12894024 is about 234.4927886514.

The spelling of 12894024 in words is "twelve million, eight hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 169 187 204 221 264 286 289 312 338 374 408 429 442 507 561 572 578 663 676 748 858 867 884 1014 1122 1144 1156 1326 1352 1496 1716 1734 1768 1859 2028 2244 2312 2431 2652 2873 3179 3432 3468 3718 3757 4056 4488 4862 5304 5577 5746 6358 6936 7293 7436 7514 8619 9537 9724 11154 11271 11492 12716 14586 14872 15028 17238 19074 19448 22308 22542 22984 25432 29172 30056 31603 34476 38148 41327 44616 45084 48841 58344 63206 68952 76296 82654 90168 94809 97682 123981 126412 146523 165308 189618 195364 247962 252824 293046 330616 379236 390728 495924 537251 586092 758472 991848 1074502 1172184 1611753 2149004 3223506 4298008 6447012 12894024