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6880512 = 28317231
BaseRepresentation
bin11010001111110100000000
3110221120021210
4122033310000
53230134022
6403250120
7112324542
oct32176400
913846253
106880512
11397a481
122379940
13156ba12
14cb1692
1590da0c
hex68fd00

6880512 has 108 divisors (see below), whose sum is σ = 20080256. Its totient is φ = 2088960.

The previous prime is 6880507. The next prime is 6880541. The reversal of 6880512 is 2150886.

It is a self number, because there is not a number n which added to its sum of digits gives 6880512.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 221937 + ... + 221967.

Almost surely, 26880512 is an apocalyptic number.

6880512 is a gapful number since it is divisible by the number (62) 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 6880512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10040128).

6880512 is an abundant number, since it is smaller than the sum of its proper divisors (13199744).

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

6880512 is a wasteful number, since it uses less digits than its factorization.

6880512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 6880512 is about 2623.0730069901. The cubic root of 6880512 is about 190.1984261276.

The spelling of 6880512 in words is "six million, eight hundred eighty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 31 32 34 48 51 62 64 68 93 96 102 124 128 136 186 192 204 248 256 272 289 372 384 408 496 527 544 578 744 768 816 867 992 1054 1088 1156 1488 1581 1632 1734 1984 2108 2176 2312 2976 3162 3264 3468 3968 4216 4352 4624 5952 6324 6528 6936 7936 8432 8959 9248 11904 12648 13056 13872 16864 17918 18496 23808 25296 26877 27744 33728 35836 36992 50592 53754 55488 67456 71672 73984 101184 107508 110976 134912 143344 202368 215016 221952 286688 404736 430032 573376 860064 1146752 1720128 2293504 3440256 6880512