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12405680 = 245722153
BaseRepresentation
bin101111010100…
…101110110000
3212100021101122
4233110232300
511133440210
61121521412
7210306110
oct57245660
925307348
1012405680
117003631
1241a3268
132754851
14190d040
151150b55
hexbd4bb0

12405680 has 40 divisors (see below), whose sum is σ = 32965152. Its totient is φ = 4253184.

The previous prime is 12405667. The next prime is 12405691. The reversal of 12405680 is 8650421.

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10517 + ... + 11636.

Almost surely, 212405680 is an apocalyptic number.

12405680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12405680 is an abundant number, since it is smaller than the sum of its proper divisors (20559472).

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

12405680 is a wasteful number, since it uses less digits than its factorization.

12405680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22173 (or 22167 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 12405680 is about 3522.1697857997. The cubic root of 12405680 is about 231.4942410950.

The spelling of 12405680 in words is "twelve million, four hundred five thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 22153 44306 88612 110765 155071 177224 221530 310142 354448 443060 620284 775355 886120 1240568 1550710 1772240 2481136 3101420 6202840 12405680