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12564840 = 2335104707
BaseRepresentation
bin101111111011…
…100101101000
3212122100201110
4233323211220
511204033330
61125150320
7211541121
oct57734550
925570643
1012564840
117102172
12425b3a0
1327ac122
141951048
151182db0
hexbfb968

12564840 has 32 divisors (see below), whose sum is σ = 37694880. Its totient is φ = 3350592.

The previous prime is 12564821. The next prime is 12564847. The reversal of 12564840 is 4846521.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 12564798 and 12564807.

It is not an unprimeable number, because it can be changed into a prime (12564847) 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, 52234 + ... + 52473.

It is an arithmetic number, because the mean of its divisors is an integer number (1177965).

Almost surely, 212564840 is an apocalyptic number.

12564840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12564840 is an abundant number, since it is smaller than the sum of its proper divisors (25130040).

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

12564840 is a wasteful number, since it uses less digits than its factorization.

12564840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104721 (or 104717 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 12564840 is about 3544.6918060672. The cubic root of 12564840 is about 232.4800306586.

The spelling of 12564840 in words is "twelve million, five hundred sixty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 104707 209414 314121 418828 523535 628242 837656 1047070 1256484 1570605 2094140 2512968 3141210 4188280 6282420 12564840