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12627937 = 72257713
BaseRepresentation
bin110000001010…
…111111100001
3212202120021101
4300022333201
511213043222
61130354401
7212223100
oct60127741
925676241
1012627937
117145613
12428ba01
132801a6a
14196a037
151196927
hexc0afe1

12627937 has 6 divisors (see below), whose sum is σ = 14689698. Its totient is φ = 10823904.

The previous prime is 12627931. The next prime is 12627941. The reversal of 12627937 is 73972621.

12627937 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 only one way, i.e., 8976016 + 3651921 = 2996^2 + 1911^2 .

It is not a de Polignac number, because 12627937 - 27 = 12627809 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12627896 and 12627905.

It is not an unprimeable number, because it can be changed into a prime (12627931) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 128808 + ... + 128905.

It is an arithmetic number, because the mean of its divisors is an integer number (2448283).

Almost surely, 212627937 is an apocalyptic number.

It is an amenable number.

12627937 is a deficient number, since it is larger than the sum of its proper divisors (2061761).

12627937 is an equidigital number, since it uses as much as digits as its factorization.

12627937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257727 (or 257720 counting only the distinct ones).

The product of its digits is 31752, while the sum is 37.

The square root of 12627937 is about 3553.5808700521. The cubic root of 12627937 is about 232.8685302766.

The spelling of 12627937 in words is "twelve million, six hundred twenty-seven thousand, nine hundred thirty-seven".

Divisors: 1 7 49 257713 1803991 12627937