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12256704 = 263341173
BaseRepresentation
bin101110110000…
…010111000000
3212001201001000
4232300113000
511114203304
61114412000
7206115555
oct56602700
925051030
1012256704
116a11709
124131000
132701ab5
1418b0a2c
151121939
hexbb05c0

12256704 has 112 divisors (see below), whose sum is σ = 37124640. Its totient is φ = 3962880.

The previous prime is 12256697. The next prime is 12256733. The reversal of 12256704 is 40765221.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70762 + ... + 70934.

It is an arithmetic number, because the mean of its divisors is an integer number (331470).

Almost surely, 212256704 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 12256704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18562320).

12256704 is an abundant number, since it is smaller than the sum of its proper divisors (24867936).

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

12256704 is a wasteful number, since it uses less digits than its factorization.

12256704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 235 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12256704 is about 3500.9575832906. The cubic root of 12256704 is about 230.5638591312.

The spelling of 12256704 in words is "twelve million, two hundred fifty-six thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 144 164 173 192 216 246 288 328 346 369 432 492 519 576 656 692 738 864 984 1038 1107 1312 1384 1476 1557 1728 1968 2076 2214 2624 2768 2952 3114 3936 4152 4428 4671 5536 5904 6228 7093 7872 8304 8856 9342 11072 11808 12456 14186 16608 17712 18684 21279 23616 24912 28372 33216 35424 37368 42558 49824 56744 63837 70848 74736 85116 99648 113488 127674 149472 170232 191511 226976 255348 298944 340464 383022 453952 510696 680928 766044 1021392 1361856 1532088 2042784 3064176 4085568 6128352 12256704