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12257401 = 132294161
BaseRepresentation
bin101110110000…
…100001111001
3212001201222211
4232300201321
511114214101
61114415121
7206120602
oct56604171
925051884
1012257401
116a12192
1241314a1
132702200
1418b0da9
151121c51
hexbb0879

12257401 has 24 divisors (see below), whose sum is σ = 14295960. Its totient is φ = 10483200.

The previous prime is 12257389. The next prime is 12257407. The reversal of 12257401 is 10475221.

It is a happy number.

12257401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 11696400 + 561001 = 3420^2 + 749^2 .

It is not a de Polignac number, because 12257401 - 223 = 3868793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12257407) 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, 200911 + ... + 200971.

It is an arithmetic number, because the mean of its divisors is an integer number (595665).

Almost surely, 212257401 is an apocalyptic number.

It is an amenable number.

12257401 is a deficient number, since it is larger than the sum of its proper divisors (2038559).

12257401 is a wasteful number, since it uses less digits than its factorization.

12257401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 22.

The square root of 12257401 is about 3501.0571260692. The cubic root of 12257401 is about 230.5682295275.

The spelling of 12257401 in words is "twelve million, two hundred fifty-seven thousand, four hundred one".

Divisors: 1 13 29 41 61 169 377 533 793 1189 1769 2501 4901 6929 10309 15457 22997 32513 72529 200941 298961 422669 942877 12257401