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12862080 = 2732571129
BaseRepresentation
bin110001000100…
…001010000000
3220012110110100
4301010022000
511243041310
61135402400
7214216530
oct61041200
926173410
1012862080
117295520
124383400
1328844ca
1419cb4c0
1511e0ec0
hexc44280

12862080 has 384 divisors, whose sum is σ = 57283200. Its totient is φ = 2580480.

The previous prime is 12862049. The next prime is 12862097. The reversal of 12862080 is 8026821.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 443506 + ... + 443534.

It is an arithmetic number, because the mean of its divisors is an integer number (149175).

Almost surely, 212862080 is an apocalyptic number.

12862080 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 12862080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28641600).

12862080 is an abundant number, since it is smaller than the sum of its proper divisors (44421120).

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

12862080 is a wasteful number, since it uses less digits than its factorization.

12862080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 12862080 is about 3586.3742136035. The cubic root of 12862080 is about 234.2989822802.

The spelling of 12862080 in words is "twelve million, eight hundred sixty-two thousand, eighty".