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12357813 = 313437369
BaseRepresentation
bin101111001001…
…000010110101
3212020211201210
4233021002311
511130422223
61120512033
7210016416
oct57110265
925224653
1012357813
116a80676
12417b619
132738b20
1418d980d
151141893
hexbc90b5

12357813 has 16 divisors (see below), whose sum is σ = 18159680. Its totient is φ = 7426944.

The previous prime is 12357803. The next prime is 12357823. The reversal of 12357813 is 31875321.

12357813 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12357803) and next prime (12357823).

It is not a de Polignac number, because 12357813 - 24 = 12357797 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12357803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2008 + ... + 5361.

It is an arithmetic number, because the mean of its divisors is an integer number (1134980).

Almost surely, 212357813 is an apocalyptic number.

12357813 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

12357813 is a deficient number, since it is larger than the sum of its proper divisors (5801867).

12357813 is a wasteful number, since it uses less digits than its factorization.

12357813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7428.

The product of its digits is 5040, while the sum is 30.

The square root of 12357813 is about 3515.3681172816. The cubic root of 12357813 is about 231.1961191244.

The spelling of 12357813 in words is "twelve million, three hundred fifty-seven thousand, eight hundred thirteen".

Divisors: 1 3 13 39 43 129 559 1677 7369 22107 95797 287391 316867 950601 4119271 12357813