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12842180 = 2251349393
BaseRepresentation
bin110000111111…
…010011000100
3220011110011022
4300333103010
511241422210
61135130312
7214104521
oct60772304
926143138
1012842180
11728157a
124373998
132878430
1419c4148
1511da155
hexc3f4c4

12842180 has 24 divisors (see below), whose sum is σ = 29043672. Its totient is φ = 4741632.

The previous prime is 12842177. The next prime is 12842183. The reversal of 12842180 is 8124821.

12842180 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 (12842177) and next prime (12842183).

It can be written as a sum of positive squares in 4 ways, for example, as 1132096 + 11710084 = 1064^2 + 3422^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is not an unprimeable number, because it can be changed into a prime (12842183) 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, 24437 + ... + 24956.

It is an arithmetic number, because the mean of its divisors is an integer number (1210153).

Almost surely, 212842180 is an apocalyptic number.

12842180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12842180 is an abundant number, since it is smaller than the sum of its proper divisors (16201492).

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

12842180 is a wasteful number, since it uses less digits than its factorization.

12842180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49415 (or 49413 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 26.

The square root of 12842180 is about 3583.5987498603. The cubic root of 12842180 is about 234.1780853900.

The spelling of 12842180 in words is "twelve million, eight hundred forty-two thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 49393 98786 197572 246965 493930 642109 987860 1284218 2568436 3210545 6421090 12842180