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12420667 = 7223103107
BaseRepresentation
bin101111011000…
…011000111011
3212101000221201
4233120120323
511134430132
61122115031
7210400600
oct57303073
925330851
1012420667
117013916
1241aba77
13275b60c
1419146a7
1511552e7
hexbd863b

12420667 has 24 divisors (see below), whose sum is σ = 15365376. Its totient is φ = 9990288.

The previous prime is 12420649. The next prime is 12420673. The reversal of 12420667 is 76602421.

12420667 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12420667 - 223 = 4032059 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12420607) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 116028 + ... + 116134.

It is an arithmetic number, because the mean of its divisors is an integer number (640224).

Almost surely, 212420667 is an apocalyptic number.

12420667 is a deficient number, since it is larger than the sum of its proper divisors (2944709).

12420667 is a wasteful number, since it uses less digits than its factorization.

12420667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 12420667 is about 3524.2966674217. The cubic root of 12420667 is about 231.5874244332.

The spelling of 12420667 in words is "twelve million, four hundred twenty thousand, six hundred sixty-seven".

Divisors: 1 7 23 49 103 107 161 721 749 1127 2369 2461 5047 5243 11021 16583 17227 77147 116081 120589 253483 540029 1774381 12420667