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12268580 = 225619991
BaseRepresentation
bin101110110011…
…010000100100
3212002022022212
4232303100210
511120043310
61114542552
7206165312
oct56632044
925068285
1012268580
116a1a625
124137a58
13270731c
1418b50b2
151125205
hexbb3424

12268580 has 24 divisors (see below), whose sum is σ = 25831680. Its totient is φ = 4894560.

The previous prime is 12268579. The next prime is 12268583. The reversal of 12268580 is 8586221.

It is not an unprimeable number, because it can be changed into a prime (12268583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11885 + ... + 12875.

It is an arithmetic number, because the mean of its divisors is an integer number (1076320).

Almost surely, 212268580 is an apocalyptic number.

12268580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12268580 is an abundant number, since it is smaller than the sum of its proper divisors (13563100).

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

12268580 is a wasteful number, since it uses less digits than its factorization.

12268580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1619 (or 1617 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 32.

The square root of 12268580 is about 3502.6532800150. The cubic root of 12268580 is about 230.6383025403.

The spelling of 12268580 in words is "twelve million, two hundred sixty-eight thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 619 991 1238 1982 2476 3095 3964 4955 6190 9910 12380 19820 613429 1226858 2453716 3067145 6134290 12268580