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136666260 = 223252772741
BaseRepresentation
bin10000010010101…
…01110010010100
3100112011100212100
420021111302110
5234441310020
621321122100
73246433623
oct1011256224
9315140770
10136666260
1170165425
1239929330
1322410b13
14142176ba
15bee8a90
hex8255c94

136666260 has 72 divisors (see below), whose sum is σ = 416202696. Its totient is φ = 36299520.

The previous prime is 136666249. The next prime is 136666261. The reversal of 136666260 is 62666631.

It can be written as a sum of positive squares in 4 ways, for example, as 197136 + 136469124 = 444^2 + 11682^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136666261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48490 + ... + 51230.

It is an arithmetic number, because the mean of its divisors is an integer number (5780593).

Almost surely, 2136666260 is an apocalyptic number.

136666260 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 136666260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208101348).

136666260 is an abundant number, since it is smaller than the sum of its proper divisors (279536436).

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

136666260 is a wasteful number, since it uses less digits than its factorization.

136666260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3028 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136666260 is about 11690.4345513758. The cubic root of 136666260 is about 515.0947260324.

The spelling of 136666260 in words is "one hundred thirty-six million, six hundred sixty-six thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 277 554 831 1108 1385 1662 2493 2741 2770 3324 4155 4986 5482 5540 8223 8310 9972 10964 12465 13705 16446 16620 24669 24930 27410 32892 41115 49338 49860 54820 82230 98676 123345 164460 246690 493380 759257 1518514 2277771 3037028 3796285 4555542 6833313 7592570 9111084 11388855 13666626 15185140 22777710 27333252 34166565 45555420 68333130 136666260