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12642801 = 323412109
BaseRepresentation
bin110000001110…
…100111110001
3212210022122220
4300032213301
511214032201
61130551253
7212314323
oct60164761
925708586
1012642801
1171557a6
124298529
132808762
141971613
15119b036
hexc0e9f1

12642801 has 24 divisors (see below), whose sum is σ = 18194880. Its totient is φ = 7793280.

The previous prime is 12642793. The next prime is 12642803. The reversal of 12642801 is 10824621.

12642801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 12642801 - 23 = 12642793 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12642803) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 115935 + ... + 116043.

It is an arithmetic number, because the mean of its divisors is an integer number (758120).

Almost surely, 212642801 is an apocalyptic number.

It is an amenable number.

12642801 is a deficient number, since it is larger than the sum of its proper divisors (5552079).

12642801 is a wasteful number, since it uses less digits than its factorization.

12642801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 12642801 is about 3555.6716665069. The cubic root of 12642801 is about 232.9598621817.

The spelling of 12642801 in words is "twelve million, six hundred forty-two thousand, eight hundred one".

Divisors: 1 3 23 41 69 109 123 327 943 1681 2507 2829 4469 5043 7521 13407 38663 102787 115989 183229 308361 549687 4214267 12642801