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12840516 = 22321327437
BaseRepresentation
bin110000111110…
…111001000100
3220011100212200
4300332321010
511241344031
61135114500
7214066623
oct60767104
926140780
1012840516
1172802a7
124372a30
132877750
1419c36ba
1511d98e6
hexc3ee44

12840516 has 36 divisors (see below), whose sum is σ = 34956012. Its totient is φ = 3950784.

The previous prime is 12840493. The next prime is 12840539. The reversal of 12840516 is 61504821.

12840516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12840493) and next prime (12840539).

It can be written as a sum of positive squares in 2 ways, for example, as 4161600 + 8678916 = 2040^2 + 2946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×128405162 = 329757702292512, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12840516.

It is a congruent number.

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, 13251 + ... + 14186.

Almost surely, 212840516 is an apocalyptic number.

It is an amenable number.

12840516 is an abundant number, since it is smaller than the sum of its proper divisors (22115496).

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

12840516 is a wasteful number, since it uses less digits than its factorization.

12840516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27460 (or 27455 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 12840516 is about 3583.3665734892. The cubic root of 12840516 is about 234.1679705661.

The spelling of 12840516 in words is "twelve million, eight hundred forty thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 27437 54874 82311 109748 164622 246933 329244 356681 493866 713362 987732 1070043 1426724 2140086 3210129 4280172 6420258 12840516