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12995937 = 331792689
BaseRepresentation
bin110001100100…
…110101100001
3220110021002000
4301210311201
511311332222
61142314213
7215315013
oct61446541
926407060
1012995937
117377049
124428969
132900406
141a241b3
15121a9ac
hexc64d61

12995937 has 16 divisors (see below), whose sum is σ = 19368000. Its totient is φ = 8612352.

The previous prime is 12995909. The next prime is 12995951. The reversal of 12995937 is 73959921.

It is a happy number.

It is not a de Polignac number, because 12995937 - 210 = 12994913 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 12995892 and 12995901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12995987) 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 15 ways as a sum of consecutive naturals, for example, 3489 + ... + 6177.

It is an arithmetic number, because the mean of its divisors is an integer number (1210500).

Almost surely, 212995937 is an apocalyptic number.

It is an amenable number.

12995937 is a deficient number, since it is larger than the sum of its proper divisors (6372063).

12995937 is a wasteful number, since it uses less digits than its factorization.

12995937 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2877 (or 2871 counting only the distinct ones).

The product of its digits is 153090, while the sum is 45.

The square root of 12995937 is about 3604.9877947089. The cubic root of 12995937 is about 235.1089701354.

It can be divided in two parts, 1299593 and 7, that added together give a square (1299600 = 11402).

The spelling of 12995937 in words is "twelve million, nine hundred ninety-five thousand, nine hundred thirty-seven".

Divisors: 1 3 9 27 179 537 1611 2689 4833 8067 24201 72603 481331 1443993 4331979 12995937