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12937309 = 7111937239
BaseRepresentation
bin110001010110…
…100001011101
3220100021122121
4301112201131
511302443214
61141142541
7214652050
oct61264135
926307577
1012937309
117336aa0
1243baa51
1328ac818
141a0aa97
151208424
hexc5685d

12937309 has 32 divisors (see below), whose sum is σ = 17510400. Its totient is φ = 9253440.

The previous prime is 12937273. The next prime is 12937333. The reversal of 12937309 is 90373921.

12937309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12937309 - 213 = 12929117 is a prime.

It is a super-2 number, since 2×129373092 = 334747928322962, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12937349) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54012 + ... + 54250.

It is an arithmetic number, because the mean of its divisors is an integer number (547200).

Almost surely, 212937309 is an apocalyptic number.

12937309 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

12937309 is a deficient number, since it is larger than the sum of its proper divisors (4573091).

12937309 is a wasteful number, since it uses less digits than its factorization.

12937309 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313.

The product of its (nonzero) digits is 10206, while the sum is 34.

The square root of 12937309 is about 3596.8470915512. The cubic root of 12937309 is about 234.7548915626.

The spelling of 12937309 in words is "twelve million, nine hundred thirty-seven thousand, three hundred nine".

Divisors: 1 7 11 19 37 77 133 209 239 259 407 703 1463 1673 2629 2849 4541 4921 7733 8843 18403 31787 49951 54131 61901 97273 168017 349657 680911 1176119 1848187 12937309