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12840084 = 2232973677
BaseRepresentation
bin110000111110…
…110010010100
3220011100021200
4300332302110
511241340314
61135112500
7214065435
oct60766224
926140250
1012840084
11727aa44
124372730
1328774aa
1419c348c
1511d9709
hexc3ec94

12840084 has 36 divisors (see below), whose sum is σ = 32800404. Its totient is φ = 4234752.

The previous prime is 12840031. The next prime is 12840089. The reversal of 12840084 is 48004821.

12840084 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 4717584 = 2850^2 + 2172^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12840089) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1654 + ... + 5330.

Almost surely, 212840084 is an apocalyptic number.

It is an amenable number.

12840084 is an abundant number, since it is smaller than the sum of its proper divisors (19960320).

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

12840084 is a wasteful number, since it uses less digits than its factorization.

12840084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3779 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 12840084 is about 3583.3062944716. The cubic root of 12840084 is about 234.1653444594.

The spelling of 12840084 in words is "twelve million, eight hundred forty thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 3677 7354 11031 14708 22062 33093 44124 66186 132372 356669 713338 1070007 1426676 2140014 3210021 4280028 6420042 12840084