Search a number
-
+
137876292 = 22323829897
BaseRepresentation
bin10000011011111…
…01001101000100
3100121102211201100
420031331031010
5240244020132
621403100100
73262633461
oct1015751504
9317384640
10137876292
1170911554
123a211630
1322745808
1414450668
15c18737c
hex837d344

137876292 has 18 divisors (see below), whose sum is σ = 348520718. Its totient is φ = 45958752.

The previous prime is 137876279. The next prime is 137876309. The reversal of 137876292 is 292678731.

137876292 is a `hidden beast` number, since 13 + 7 + 8 + 7 + 629 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 128731716 + 9144576 = 11346^2 + 3024^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1914913 + ... + 1914984.

Almost surely, 2137876292 is an apocalyptic number.

137876292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

137876292 is an abundant number, since it is smaller than the sum of its proper divisors (210644426).

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

137876292 is a wasteful number, since it uses less digits than its factorization.

137876292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829907 (or 3829902 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 137876292 is about 11742.0735817827. The cubic root of 137876292 is about 516.6104637211.

The spelling of 137876292 in words is "one hundred thirty-seven million, eight hundred seventy-six thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 18 36 3829897 7659794 11489691 15319588 22979382 34469073 45958764 68938146 137876292