Search a number
-
+
137922336 = 2532478897
BaseRepresentation
bin10000011100010…
…00011100100000
3100121112011212200
420032020130200
5240302003321
621404053200
73263214636
oct1016103440
9317464780
10137922336
1170943102
123a234200
1322760766
1414463356
15c195d26
hex8388720

137922336 has 36 divisors (see below), whose sum is σ = 392217462. Its totient is φ = 45974016.

The previous prime is 137922307. The next prime is 137922361. The reversal of 137922336 is 633229731.

It can be written as a sum of positive squares in only one way, i.e., 134096400 + 3825936 = 11580^2 + 1956^2 .

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 137922336.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 239161 + ... + 239736.

Almost surely, 2137922336 is an apocalyptic number.

137922336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

137922336 is an abundant number, since it is smaller than the sum of its proper divisors (254295126).

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

137922336 is a wasteful number, since it uses less digits than its factorization.

137922336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 478913 (or 478902 counting only the distinct ones).

The product of its digits is 40824, while the sum is 36.

The square root of 137922336 is about 11744.0340598961. The cubic root of 137922336 is about 516.6679649407.

The spelling of 137922336 in words is "one hundred thirty-seven million, nine hundred twenty-two thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 478897 957794 1436691 1915588 2873382 3831176 4310073 5746764 7662352 8620146 11493528 15324704 17240292 22987056 34480584 45974112 68961168 137922336