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12411680 = 25577573
BaseRepresentation
bin101111010110…
…001100100000
3212100120121212
4233112030200
511134133210
61122005252
7210332441
oct57261440
925316555
1012411680
117008096
1241a6828
1327574b8
1419112c8
151152805
hexbd6320

12411680 has 24 divisors (see below), whose sum is σ = 29322972. Its totient is φ = 4964608.

The previous prime is 12411667. The next prime is 12411689. The reversal of 12411680 is 8611421.

It can be written as a sum of positive squares in 2 ways, for example, as 11587216 + 824464 = 3404^2 + 908^2 .

It is not an unprimeable number, because it can be changed into a prime (12411689) 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 3 ways as a sum of consecutive naturals, for example, 38627 + ... + 38946.

Almost surely, 212411680 is an apocalyptic number.

12411680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12411680 is an abundant number, since it is smaller than the sum of its proper divisors (16911292).

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

12411680 is an equidigital number, since it uses as much as digits as its factorization.

12411680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77588 (or 77580 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 12411680 is about 3523.0214305337. The cubic root of 12411680 is about 231.5315557654.

The spelling of 12411680 in words is "twelve million, four hundred eleven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 77573 155146 310292 387865 620584 775730 1241168 1551460 2482336 3102920 6205840 12411680