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12855960 = 23325134167
BaseRepresentation
bin110001000010…
…101010011000
3220012011001200
4301002222120
511242342320
61135314200
7214162635
oct61025230
926164050
1012855960
117290967
12437b960
1328817a0
1419c918c
1511de290
hexc42a98

12855960 has 192 divisors, whose sum is σ = 46781280. Its totient is φ = 3041280.

The previous prime is 12855937. The next prime is 12855967. The reversal of 12855960 is 6955821.

It is a happy number.

It is a super-3 number, since 3×128559603 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12855967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191847 + ... + 191913.

Almost surely, 212855960 is an apocalyptic number.

12855960 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 12855960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23390640).

12855960 is an abundant number, since it is smaller than the sum of its proper divisors (33925320).

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

12855960 is a wasteful number, since it uses less digits than its factorization.

12855960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The square root of 12855960 is about 3585.5208826613. The cubic root of 12855960 is about 234.2618152161.

The spelling of 12855960 in words is "twelve million, eight hundred fifty-five thousand, nine hundred sixty".