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12819984 = 2431914057
BaseRepresentation
bin110000111001…
…111000010000
3220010022201020
4300321320100
511240214414
61134435440
7213653022
oct60717020
926108636
1012819984
117266931
124362b80
13286b2b8
1419ba012
1511d37a9
hexc39e10

12819984 has 40 divisors (see below), whose sum is σ = 34863840. Its totient is φ = 4048128.

The previous prime is 12819971. The next prime is 12820009. The reversal of 12819984 is 48991821.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6117 + ... + 7940.

It is an arithmetic number, because the mean of its divisors is an integer number (871596).

Almost surely, 212819984 is an apocalyptic number.

It is an amenable number.

12819984 is an abundant number, since it is smaller than the sum of its proper divisors (22043856).

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

12819984 is a wasteful number, since it uses less digits than its factorization.

12819984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14087 (or 14081 counting only the distinct ones).

The product of its digits is 41472, while the sum is 42.

The square root of 12819984 is about 3580.5005236698. The cubic root of 12819984 is about 234.0430923633.

The spelling of 12819984 in words is "twelve million, eight hundred nineteen thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 14057 28114 42171 56228 84342 112456 168684 224912 267083 337368 534166 674736 801249 1068332 1602498 2136664 3204996 4273328 6409992 12819984