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12802640 = 245160033
BaseRepresentation
bin110000110101…
…101001010000
3220002102220212
4300311221100
511234141030
61134223252
7213551324
oct60655120
926072825
1012802640
1172548a4
124354b28
132863436
1419b3984
1511cd595
hexc35a50

12802640 has 20 divisors (see below), whose sum is σ = 29766324. Its totient is φ = 5121024.

The previous prime is 12802631. The next prime is 12802681. The reversal of 12802640 is 4620821.

It can be written as a sum of positive squares in 2 ways, for example, as 1700416 + 11102224 = 1304^2 + 3332^2 .

It is a tau number, because it is divible by the number of its divisors (20).

12802640 is a modest number, since divided by 2640 gives 1280 as remainder.

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, 79937 + ... + 80096.

Almost surely, 212802640 is an apocalyptic number.

12802640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12802640 is an abundant number, since it is smaller than the sum of its proper divisors (16963684).

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

12802640 is a wasteful number, since it uses less digits than its factorization.

12802640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160046 (or 160040 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 12802640 is about 3578.0776961939. The cubic root of 12802640 is about 233.9375000491.

The spelling of 12802640 in words is "twelve million, eight hundred two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 160033 320066 640132 800165 1280264 1600330 2560528 3200660 6401320 12802640