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12946180 = 225131729101
BaseRepresentation
bin110001011000…
…101100000100
3220100201211011
4301120230010
511303234210
61141252004
7215016652
oct61305404
926321734
1012946180
117342725
124404004
1328b3880
141a0ddd2
15120ad8a
hexc58b04

12946180 has 96 divisors (see below), whose sum is σ = 32387040. Its totient is φ = 4300800.

The previous prime is 12946177. The next prime is 12946181. The reversal of 12946180 is 8164921.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 541696 + 12404484 = 736^2 + 3522^2 .

It is not an unprimeable number, because it can be changed into a prime (12946181) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128130 + ... + 128230.

It is an arithmetic number, because the mean of its divisors is an integer number (337365).

Almost surely, 212946180 is an apocalyptic number.

12946180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12946180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16193520).

12946180 is an abundant number, since it is smaller than the sum of its proper divisors (19440860).

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

12946180 is a wasteful number, since it uses less digits than its factorization.

12946180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 31.

The square root of 12946180 is about 3598.0800435788. The cubic root of 12946180 is about 234.8085357642.

The spelling of 12946180 in words is "twelve million, nine hundred forty-six thousand, one hundred eighty".

Divisors: 1 2 4 5 10 13 17 20 26 29 34 52 58 65 68 85 101 116 130 145 170 202 221 260 290 340 377 404 442 493 505 580 754 884 986 1010 1105 1313 1508 1717 1885 1972 2020 2210 2465 2626 2929 3434 3770 4420 4930 5252 5858 6409 6565 6868 7540 8585 9860 11716 12818 13130 14645 17170 22321 25636 26260 29290 32045 34340 38077 44642 49793 58580 64090 76154 89284 99586 111605 128180 152308 190385 199172 223210 248965 380770 446420 497930 647309 761540 995860 1294618 2589236 3236545 6473090 12946180