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12880768 = 27103977
BaseRepresentation
bin110001001000…
…101110000000
3220020102002111
4301020232000
511244141033
61140025104
7214325155
oct61105600
926212074
1012880768
1172a856a
124392194
13288cb74
1419d422c
1511e67cd
hexc48b80

12880768 has 32 divisors (see below), whose sum is σ = 25936560. Its totient is φ = 6371328.

The previous prime is 12880741. The next prime is 12880783. The reversal of 12880768 is 86708821.

It is a tau number, because it is divible by the number of its divisors (32).

It is a self number, because there is not a number n which added to its sum of digits gives 12880768.

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, 12696 + ... + 13672.

Almost surely, 212880768 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 12880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12968280).

12880768 is an abundant number, since it is smaller than the sum of its proper divisors (13055792).

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

12880768 is an equidigital number, since it uses as much as digits as its factorization.

12880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1082 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 12880768 is about 3588.9786848071. The cubic root of 12880768 is about 234.4124025168.

The spelling of 12880768 in words is "twelve million, eight hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 103 128 206 412 824 977 1648 1954 3296 3908 6592 7816 13184 15632 31264 62528 100631 125056 201262 402524 805048 1610096 3220192 6440384 12880768