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12256768 = 2937647
BaseRepresentation
bin101110110000…
…011000000000
3212001201010101
4232300120000
511114204033
61114412144
7206116006
oct56603000
925051111
1012256768
116a11767
124131054
132701b34
1418b0a76
15112197d
hexbb0600

12256768 has 40 divisors (see below), whose sum is σ = 25190352. Its totient is φ = 5953536.

The previous prime is 12256759. The next prime is 12256787. The reversal of 12256768 is 86765221.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18621 + ... + 19267.

Almost surely, 212256768 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 12256768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595176).

12256768 is an abundant number, since it is smaller than the sum of its proper divisors (12933584).

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

12256768 is an frugal number, since it uses more digits than its factorization.

12256768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 686 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 12256768 is about 3500.9667236351. The cubic root of 12256768 is about 230.5642604370.

The spelling of 12256768 in words is "twelve million, two hundred fifty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 647 1184 1294 2368 2588 4736 5176 9472 10352 18944 20704 23939 41408 47878 82816 95756 165632 191512 331264 383024 766048 1532096 3064192 6128384 12256768