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136412180 = 22573233401
BaseRepresentation
bin10000010000101…
…11110000010100
3100111200110022222
420020113300110
5234410142210
621311441512
73244325102
oct1010276024
9314613288
10136412180
1170001543
1239826298
1322352288
141418cc72
15be98655
hex8217c14

136412180 has 48 divisors (see below), whose sum is σ = 292363344. Its totient is φ = 53452800.

The previous prime is 136412179. The next prime is 136412203. The reversal of 136412180 is 81214631.

136412180 is digitally balanced in base 3, 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 8 ways, for example, as 2917264 + 133494916 = 1708^2 + 11554^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 339980 + ... + 340380.

It is an arithmetic number, because the mean of its divisors is an integer number (6090903).

Almost surely, 2136412180 is an apocalyptic number.

136412180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136412180 is an abundant number, since it is smaller than the sum of its proper divisors (155951164).

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

136412180 is a wasteful number, since it uses less digits than its factorization.

136412180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 136412180 is about 11679.5624918059. The cubic root of 136412180 is about 514.7753190906.

The spelling of 136412180 in words is "one hundred thirty-six million, four hundred twelve thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 73 146 233 292 365 401 466 730 802 932 1165 1460 1604 2005 2330 4010 4660 8020 17009 29273 34018 58546 68036 85045 93433 117092 146365 170090 186866 292730 340180 373732 467165 585460 934330 1868660 6820609 13641218 27282436 34103045 68206090 136412180