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136218580 = 22550913381
BaseRepresentation
bin10000001111010…
…00011111010100
3100111022121202121
420013220133110
5234332443310
621303345324
73242560501
oct1007503724
9314277677
10136218580
116a98a043
1239752244
13222b5114
141413c4a8
15be5b0da
hex81e87d4

136218580 has 24 divisors (see below), whose sum is σ = 286642440. Its totient is φ = 54376320.

The previous prime is 136218559. The next prime is 136218583. The reversal of 136218580 is 85812631.

It can be written as a sum of positive squares in 4 ways, for example, as 10150596 + 126067984 = 3186^2 + 11228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136218583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3490 + ... + 16870.

It is an arithmetic number, because the mean of its divisors is an integer number (11943435).

Almost surely, 2136218580 is an apocalyptic number.

136218580 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136218580 is an abundant number, since it is smaller than the sum of its proper divisors (150423860).

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

136218580 is a wasteful number, since it uses less digits than its factorization.

136218580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13899 (or 13897 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 34.

The square root of 136218580 is about 11671.2715674000. The cubic root of 136218580 is about 514.5316759252.

It can be divided in two parts, 13621 and 8580, that added together give a square (22201 = 1492).

The spelling of 136218580 in words is "one hundred thirty-six million, two hundred eighteen thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 5090 10180 13381 26762 53524 66905 133810 267620 6810929 13621858 27243716 34054645 68109290 136218580