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12804993 = 3319109229
BaseRepresentation
bin110000110110…
…001110000001
3220002120011000
4300312032001
511234224433
61134242213
7213561225
oct60661601
926076130
1012804993
117256643
124356369
132864526
1419b4785
1511ce113
hexc36381

12804993 has 32 divisors (see below), whose sum is σ = 20240000. Its totient is φ = 7978176.

The previous prime is 12804983. The next prime is 12805007. The reversal of 12804993 is 39940821.

It is not a de Polignac number, because 12804993 - 24 = 12804977 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12804983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55803 + ... + 56031.

It is an arithmetic number, because the mean of its divisors is an integer number (632500).

Almost surely, 212804993 is an apocalyptic number.

It is an amenable number.

12804993 is a deficient number, since it is larger than the sum of its proper divisors (7435007).

12804993 is a wasteful number, since it uses less digits than its factorization.

12804993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 12804993 is about 3578.4064889277. The cubic root of 12804993 is about 233.9518309792.

The spelling of 12804993 in words is "twelve million, eight hundred four thousand, nine hundred ninety-three".

Divisors: 1 3 9 19 27 57 109 171 229 327 513 687 981 2061 2071 2943 4351 6183 6213 13053 18639 24961 39159 55917 74883 117477 224649 474259 673947 1422777 4268331 12804993