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12819904 = 261711783
BaseRepresentation
bin110000111001…
…110111000000
3220010022121021
4300321313000
511240214104
61134435224
7213652546
oct60716700
926108537
1012819904
117266869
124362b14
13286b256
1419b9d96
1511d3754
hexc39dc0

12819904 has 28 divisors (see below), whose sum is σ = 26938224. Its totient is φ = 6032384.

The previous prime is 12819899. The next prime is 12819907. The reversal of 12819904 is 40991821.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 12819904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12819907) 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, 4804 + ... + 6979.

Almost surely, 212819904 is an apocalyptic number.

It is an amenable number.

12819904 is an abundant number, since it is smaller than the sum of its proper divisors (14118320).

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

12819904 is a wasteful number, since it uses less digits than its factorization.

12819904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11812 (or 11802 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The square root of 12819904 is about 3580.4893520300. The cubic root of 12819904 is about 234.0426055326.

The spelling of 12819904 in words is "twelve million, eight hundred nineteen thousand, nine hundred four".

Divisors: 1 2 4 8 16 17 32 34 64 68 136 272 544 1088 11783 23566 47132 94264 188528 200311 377056 400622 754112 801244 1602488 3204976 6409952 12819904