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12257696 = 251197359
BaseRepresentation
bin101110110000…
…100110100000
3212001202101202
4232300212200
511114221241
61114420332
7206121503
oct56604640
925052352
1012257696
116a12430
1241316a8
132702399
1418b113a
151121d9b
hexbb09a0

12257696 has 48 divisors (see below), whose sum is σ = 26671680. Its totient is φ = 5498880.

The previous prime is 12257677. The next prime is 12257711. The reversal of 12257696 is 69675221.

It is a happy number.

It is a super-2 number, since 2×122576962 = 300502222456832, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 33965 + ... + 34323.

It is an arithmetic number, because the mean of its divisors is an integer number (555660).

Almost surely, 212257696 is an apocalyptic number.

12257696 is a gapful number since it is divisible by the number (16) 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 12257696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13335840).

12257696 is an abundant number, since it is smaller than the sum of its proper divisors (14413984).

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

12257696 is a wasteful number, since it uses less digits than its factorization.

12257696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 469 counting only the distinct ones).

The product of its digits is 45360, while the sum is 38.

The square root of 12257696 is about 3501.0992559481. The cubic root of 12257696 is about 230.5700792150.

The spelling of 12257696 in words is "twelve million, two hundred fifty-seven thousand, six hundred ninety-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 97 176 194 352 359 388 718 776 1067 1436 1552 2134 2872 3104 3949 4268 5744 7898 8536 11488 15796 17072 31592 34144 34823 63184 69646 126368 139292 278584 383053 557168 766106 1114336 1532212 3064424 6128848 12257696