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12497920 = 21052441
BaseRepresentation
bin101111101011…
…010000000000
3212111221220221
4233223100000
511144413140
61123512424
7211142041
oct57532000
925457827
1012497920
117066966
124228714
132787826
1419348c8
15116d14a
hexbeb400

12497920 has 44 divisors (see below), whose sum is σ = 29992644. Its totient is φ = 4997120.

The previous prime is 12497909. The next prime is 12497951. The reversal of 12497920 is 2979421.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2663424 + 9834496 = 1632^2 + 3136^2 .

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, 3900 + ... + 6340.

It is an arithmetic number, because the mean of its divisors is an integer number (681651).

Almost surely, 212497920 is an apocalyptic number.

12497920 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 12497920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14996322).

12497920 is an abundant number, since it is smaller than the sum of its proper divisors (17494724).

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

12497920 is an equidigital number, since it uses as much as digits as its factorization.

12497920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2448 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 12497920 is about 3535.2397372738. The cubic root of 12497920 is about 232.0665682935.

The spelling of 12497920 in words is "twelve million, four hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2441 2560 4882 5120 9764 12205 19528 24410 39056 48820 78112 97640 156224 195280 312448 390560 624896 781120 1249792 1562240 2499584 3124480 6248960 12497920