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260136136 = 231319712697
BaseRepresentation
bin11111000000101…
…01110011001000
3200010111021200201
433200111303020
51013043324021
641451341544
76306056251
oct1740256310
9603437621
10260136136
11123927147
12731518b4
1341b81210
1426797b28
1517c87591
hexf815cc8

260136136 has 32 divisors (see below), whose sum is σ = 527982840. Its totient is φ = 119443968.

The previous prime is 260136127. The next prime is 260136139. The reversal of 260136136 is 631631062.

It can be written as a sum of positive squares in 4 ways, for example, as 215913636 + 44222500 = 14694^2 + 6650^2 .

It is not an unprimeable number, because it can be changed into a prime (260136139) 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, 14140 + ... + 26836.

Almost surely, 2260136136 is an apocalyptic number.

260136136 is a gapful number since it is divisible by the number (26) 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 260136136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (263991420).

260136136 is an abundant number, since it is smaller than the sum of its proper divisors (267846704).

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

260136136 is a wasteful number, since it uses less digits than its factorization.

260136136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12913 (or 12909 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 28.

The square root of 260136136 is about 16128.7363423177. The cubic root of 260136136 is about 638.3618064244.

Adding to 260136136 its reverse (631631062), we get a palindrome (891767198).

The spelling of 260136136 in words is "two hundred sixty million, one hundred thirty-six thousand, one hundred thirty-six".

Divisors: 1 2 4 8 13 26 52 104 197 394 788 1576 2561 5122 10244 12697 20488 25394 50788 101576 165061 330122 660244 1320488 2501309 5002618 10005236 20010472 32517017 65034034 130068068 260136136