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12640432 = 247223701
BaseRepresentation
bin110000001110…
…000010110000
3212210012102011
4300032002300
511213443212
61130532304
7212304400
oct60160260
925705364
1012640432
117153a42
124297094
13280765c
141970800
15119a4a7
hexc0e0b0

12640432 has 60 divisors (see below), whose sum is σ = 29770416. Its totient is φ = 5174400.

The previous prime is 12640429. The next prime is 12640451. The reversal of 12640432 is 23404621.

It is a happy number.

It is a super-2 number, since 2×126404322 = 319561042293248, which contains 22 as substring.

It is a hoax number, since the sum of its digits (22) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17682 + ... + 18382.

Almost surely, 212640432 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 12640432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14885208).

12640432 is an abundant number, since it is smaller than the sum of its proper divisors (17129984).

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

12640432 is a wasteful number, since it uses less digits than its factorization.

12640432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

The square root of 12640432 is about 3555.3385211538. The cubic root of 12640432 is about 232.9453106492.

The spelling of 12640432 in words is "twelve million, six hundred forty thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 49 56 92 98 112 161 184 196 322 368 392 644 701 784 1127 1288 1402 2254 2576 2804 4508 4907 5608 9016 9814 11216 16123 18032 19628 32246 34349 39256 64492 68698 78512 112861 128984 137396 225722 257968 274792 451444 549584 790027 902888 1580054 1805776 3160108 6320216 12640432