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12393984 = 2938069
BaseRepresentation
bin101111010001…
…111000000000
3212022200100110
4233101320000
511133101414
61121351320
7210230031
oct57217000
925280313
1012393984
116aa5869
124198540
13274c425
141908a88
15114c459
hexbd1e00

12393984 has 40 divisors (see below), whose sum is σ = 33022440. Its totient is φ = 4130816.

The previous prime is 12393971. The next prime is 12394007. The reversal of 12393984 is 48939321.

It is a super-2 number, since 2×123939842 = 307221678784512, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2499 + ... + 5570.

It is an arithmetic number, because the mean of its divisors is an integer number (825561).

Almost surely, 212393984 is an apocalyptic number.

It is an amenable number.

12393984 is an abundant number, since it is smaller than the sum of its proper divisors (20628456).

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

12393984 is an frugal number, since it uses more digits than its factorization.

12393984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8090 (or 8074 counting only the distinct ones).

The product of its digits is 46656, while the sum is 39.

The square root of 12393984 is about 3520.5090541000. The cubic root of 12393984 is about 231.4214677638.

The spelling of 12393984 in words is "twelve million, three hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1536 8069 16138 24207 32276 48414 64552 96828 129104 193656 258208 387312 516416 774624 1032832 1549248 2065664 3098496 4131328 6196992 12393984