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12640512 = 283109151
BaseRepresentation
bin110000001110…
…000100000000
3212210012112010
4300032010000
511213444022
61130532520
7212304543
oct60160400
925705463
1012640512
117154005
124297140
1328076c1
14197085a
15119a50c
hexc0e100

12640512 has 72 divisors (see below), whose sum is σ = 34175680. Its totient is φ = 4147200.

The previous prime is 12640499. The next prime is 12640513. The reversal of 12640512 is 21504621.

It is not an unprimeable number, because it can be changed into a prime (12640513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 83637 + ... + 83787.

Almost surely, 212640512 is an apocalyptic number.

12640512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12640512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17087840).

12640512 is an abundant number, since it is smaller than the sum of its proper divisors (21535168).

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

12640512 is a wasteful number, since it uses less digits than its factorization.

12640512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 12640512 is about 3555.3497718227. The cubic root of 12640512 is about 232.9458020772.

The spelling of 12640512 in words is "twelve million, six hundred forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 109 128 151 192 218 256 302 327 384 436 453 604 654 768 872 906 1208 1308 1744 1812 2416 2616 3488 3624 4832 5232 6976 7248 9664 10464 13952 14496 16459 19328 20928 27904 28992 32918 38656 41856 49377 57984 65836 83712 98754 115968 131672 197508 263344 395016 526688 790032 1053376 1580064 2106752 3160128 4213504 6320256 12640512