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12925440 = 293351117
BaseRepresentation
bin110001010011…
…101000000000
3220022200101000
4301103220000
511302103230
61141012000
7214602333
oct61235000
926280330
1012925440
117329090
1243b4000
1328a72b8
141a0661a
151204b60
hexc53a00

12925440 has 320 divisors, whose sum is σ = 53032320. Its totient is φ = 2949120.

The previous prime is 12925421. The next prime is 12925441. The reversal of 12925440 is 4452921.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12925441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 760312 + ... + 760328.

It is an arithmetic number, because the mean of its divisors is an integer number (165726).

Almost surely, 212925440 is an apocalyptic number.

12925440 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 12925440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26516160).

12925440 is an abundant number, since it is smaller than the sum of its proper divisors (40106880).

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

12925440 is a wasteful number, since it uses less digits than its factorization.

12925440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 12925440 is about 3595.1967957262. The cubic root of 12925440 is about 234.6830796601.

The spelling of 12925440 in words is "twelve million, nine hundred twenty-five thousand, four hundred forty".