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12947456 = 21229109
BaseRepresentation
bin110001011001…
…000000000000
3220100210120102
4301121000000
511303304311
61141301532
7215023454
oct61310000
926323512
1012947456
117343685
1244048a8
1328b4322
141a10664
15120b43b
hexc59000

12947456 has 52 divisors (see below), whose sum is σ = 27030300. Its totient is φ = 6193152.

The previous prime is 12947443. The next prime is 12947461. The reversal of 12947456 is 65474921.

It can be written as a sum of positive squares in 2 ways, for example, as 7929856 + 5017600 = 2816^2 + 2240^2 .

It is an alternating number because its digits alternate between odd and even.

Its product of digits (60480) is a multiple of the sum of its prime divisors (140).

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, 118730 + ... + 118838.

Almost surely, 212947456 is an apocalyptic number.

12947456 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 12947456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13515150).

12947456 is an abundant number, since it is smaller than the sum of its proper divisors (14082844).

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

12947456 is an equidigital number, since it uses as much as digits as its factorization.

12947456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162 (or 140 counting only the distinct ones).

The product of its digits is 60480, while the sum is 38.

The square root of 12947456 is about 3598.2573559989. The cubic root of 12947456 is about 234.8162499020.

The spelling of 12947456 in words is "twelve million, nine hundred forty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 109 116 128 218 232 256 436 464 512 872 928 1024 1744 1856 2048 3161 3488 3712 4096 6322 6976 7424 12644 13952 14848 25288 27904 29696 50576 55808 59392 101152 111616 118784 202304 223232 404608 446464 809216 1618432 3236864 6473728 12947456