Search a number
-
+
137260260 = 22325762557
BaseRepresentation
bin10000010111001…
…10110011100100
3100120021112200100
420023212303210
5240114312020
621341544100
73254456454
oct1013466344
9316245610
10137260260
1170530735
1239b75030
132258b2b7
141432dd64
15c0b4a90
hex82e6ce4

137260260 has 36 divisors (see below), whose sum is σ = 416356668. Its totient is φ = 36602688.

The previous prime is 137260241. The next prime is 137260267. The reversal of 137260260 is 62062731.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 98247744 + 39012516 = 9912^2 + 6246^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (137260267) 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 11 ways as a sum of consecutive naturals, for example, 381099 + ... + 381458.

It is an arithmetic number, because the mean of its divisors is an integer number (11565463).

Almost surely, 2137260260 is an apocalyptic number.

137260260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

137260260 is an abundant number, since it is smaller than the sum of its proper divisors (279096408).

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

137260260 is a wasteful number, since it uses less digits than its factorization.

137260260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 762572 (or 762567 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 137260260 is about 11715.8123918062. The cubic root of 137260260 is about 515.8399088723.

The spelling of 137260260 in words is "one hundred thirty-seven million, two hundred sixty thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 762557 1525114 2287671 3050228 3812785 4575342 6863013 7625570 9150684 11438355 13726026 15251140 22876710 27452052 34315065 45753420 68630130 137260260