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12642132 = 2231053511
BaseRepresentation
bin110000001110…
…011101010100
3212210021202010
4300032131110
511214022012
61130544220
7212312346
oct60163524
925707663
1012642132
117155248
124298070
132808369
141971296
15119ac3c
hexc0e754

12642132 has 12 divisors (see below), whose sum is σ = 29498336. Its totient is φ = 4214040.

The previous prime is 12642131. The next prime is 12642139. The reversal of 12642132 is 23124621.

It is a tau number, because it is divible by the number of its divisors (12).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 12642099 and 12642108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12642131) 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 3 ways as a sum of consecutive naturals, for example, 526744 + ... + 526767.

Almost surely, 212642132 is an apocalyptic number.

12642132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12642132 is an abundant number, since it is smaller than the sum of its proper divisors (16856204).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12642132 is a wasteful number, since it uses less digits than its factorization.

12642132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1053518 (or 1053516 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 12642132 is about 3555.5775902095. The cubic root of 12642132 is about 232.9557530475.

Adding to 12642132 its reverse (23124621), we get a palindrome (35766753).

The spelling of 12642132 in words is "twelve million, six hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 1053511 2107022 3160533 4214044 6321066 12642132