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12642157 = 1123107467
BaseRepresentation
bin110000001110…
…011101101101
3212210021210001
4300032131231
511214022112
61130544301
7212312413
oct60163555
925707701
1012642157
117155270
124298091
132808388
1419712b3
15119ac57
hexc0e76d

12642157 has 16 divisors (see below), whose sum is σ = 14556672. Its totient is φ = 10867120.

The previous prime is 12642139. The next prime is 12642181. The reversal of 12642157 is 75124621.

12642157 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2k-12642157 is a prime.

It is a super-2 number, since 2×126421572 = 319648267225298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26838 + ... + 27304.

It is an arithmetic number, because the mean of its divisors is an integer number (909792).

Almost surely, 212642157 is an apocalyptic number.

It is an amenable number.

12642157 is a deficient number, since it is larger than the sum of its proper divisors (1914515).

12642157 is a wasteful number, since it uses less digits than its factorization.

12642157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608.

The product of its digits is 3360, while the sum is 28.

The square root of 12642157 is about 3555.5811058110. The cubic root of 12642157 is about 232.9559066052.

Adding to 12642157 its reverse (75124621), we get a palindrome (87766778).

The spelling of 12642157 in words is "twelve million, six hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 11 23 107 253 467 1177 2461 5137 10741 27071 49969 118151 549659 1149287 12642157