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12642057 = 322948437
BaseRepresentation
bin110000001110…
…011100001001
3212210021122100
4300032130021
511214021212
61130544013
7212312211
oct60163411
925707570
1012642057
11715518a
124298009
13280830c
141971241
15119abdc
hexc0e709

12642057 has 12 divisors (see below), whose sum is σ = 18890820. Its totient is φ = 8137248.

The previous prime is 12642053. The next prime is 12642059. The reversal of 12642057 is 75024621.

12642057 is a `hidden beast` number, since 12 + 642 + 0 + 5 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5861241 + 6780816 = 2421^2 + 2604^2 .

It is not a de Polignac number, because 12642057 - 22 = 12642053 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12642057.

It is not an unprimeable number, because it can be changed into a prime (12642053) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23958 + ... + 24479.

It is an arithmetic number, because the mean of its divisors is an integer number (1574235).

Almost surely, 212642057 is an apocalyptic number.

It is an amenable number.

12642057 is a deficient number, since it is larger than the sum of its proper divisors (6248763).

12642057 is a wasteful number, since it uses less digits than its factorization.

12642057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48472 (or 48469 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 12642057 is about 3555.5670433842. The cubic root of 12642057 is about 232.9552923732.

Adding to 12642057 its reverse (75024621), we get a palindrome (87666678).

It can be divided in two parts, 1264 and 2057, that added together give a triangular number (3321 = T81).

The spelling of 12642057 in words is "twelve million, six hundred forty-two thousand, fifty-seven".

Divisors: 1 3 9 29 87 261 48437 145311 435933 1404673 4214019 12642057