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12389872 = 24111741101
BaseRepresentation
bin101111010000…
…110111110000
3212022110201011
4233100313300
511132433442
61121320304
7210212035
oct57206760
925273634
1012389872
116aa2770
124196094
13274a5b1
14190738c
15114b117
hexbd0df0

12389872 has 80 divisors (see below), whose sum is σ = 28685664. Its totient is φ = 5120000.

The previous prime is 12389833. The next prime is 12389879. The reversal of 12389872 is 27898321.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12389879) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122622 + ... + 122722.

Almost surely, 212389872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12389872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14342832).

12389872 is an abundant number, since it is smaller than the sum of its proper divisors (16295792).

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

12389872 is a wasteful number, since it uses less digits than its factorization.

12389872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178 (or 172 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The square root of 12389872 is about 3519.9249992010. The cubic root of 12389872 is about 231.3958717344.

The spelling of 12389872 in words is "twelve million, three hundred eighty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 11 16 17 22 34 41 44 68 82 88 101 136 164 176 187 202 272 328 374 404 451 656 697 748 808 902 1111 1394 1496 1616 1717 1804 2222 2788 2992 3434 3608 4141 4444 5576 6868 7216 7667 8282 8888 11152 13736 15334 16564 17776 18887 27472 30668 33128 37774 45551 61336 66256 70397 75548 91102 122672 140794 151096 182204 281588 302192 364408 563176 728816 774367 1126352 1548734 3097468 6194936 12389872