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12880944 = 24353313
BaseRepresentation
bin110001001000…
…110000110000
3220020102100000
4301020300300
511244142234
61140030000
7214325526
oct61106060
926212300
1012880944
1172a870a
124392300
13288cc7b
1419d4316
1511e6899
hexc48c30

12880944 has 60 divisors (see below), whose sum is σ = 37395176. Its totient is φ = 4292352.

The previous prime is 12880927. The next prime is 12880949. The reversal of 12880944 is 44908821.

It is a super-2 number, since 2×128809442 = 331837436662272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 12880899 and 12880908.

It is not an unprimeable number, because it can be changed into a prime (12880949) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2232 + ... + 5544.

Almost surely, 212880944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12880944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18697588).

12880944 is an abundant number, since it is smaller than the sum of its proper divisors (24514232).

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

12880944 is an equidigital number, since it uses as much as digits as its factorization.

12880944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3336 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 12880944 is about 3589.0032042337. The cubic root of 12880944 is about 234.4134701652.

It can be divided in two parts, 12880 and 944, that added together give a cube (13824 = 243).

The spelling of 12880944 in words is "twelve million, eight hundred eighty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3313 3888 6626 9939 13252 19878 26504 29817 39756 53008 59634 79512 89451 119268 159024 178902 238536 268353 357804 477072 536706 715608 805059 1073412 1431216 1610118 2146824 3220236 4293648 6440472 12880944