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136376261 = 7217533089
BaseRepresentation
bin10000010000011…
…10111111000101
3100111121122001122
420020032333011
5234403020021
621311003325
73244115300
oct1010167705
9314548048
10136376261
116aa8755a
1239809545
132233bb18
141417db37
15be8cbab
hex820efc5

136376261 has 24 divisors (see below), whose sum is σ = 171198360. Its totient is φ = 107907072.

The previous prime is 136376257. The next prime is 136376267. The reversal of 136376261 is 162673631.

It can be written as a sum of positive squares in 4 ways, for example, as 84088900 + 52287361 = 9170^2 + 7231^2 .

It is not a de Polignac number, because 136376261 - 22 = 136376257 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136376267) 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 23 ways as a sum of consecutive naturals, for example, 42605 + ... + 45693.

It is an arithmetic number, because the mean of its divisors is an integer number (7133265).

Almost surely, 2136376261 is an apocalyptic number.

It is an amenable number.

136376261 is a deficient number, since it is larger than the sum of its proper divisors (34822099).

136376261 is a wasteful number, since it uses less digits than its factorization.

136376261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3166 counting only the distinct ones).

The product of its digits is 27216, while the sum is 35.

The square root of 136376261 is about 11678.0247045466. The cubic root of 136376261 is about 514.7301329060.

The spelling of 136376261 in words is "one hundred thirty-six million, three hundred seventy-six thousand, two hundred sixty-one".

Divisors: 1 7 17 49 53 119 371 833 901 2597 3089 6307 21623 44149 52513 151361 163717 367591 1146019 2573137 2783189 8022133 19482323 136376261