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137055210 = 23541111427
BaseRepresentation
bin10000010101101…
…00101111101010
3100112220010101220
420022310233222
5240041231320
621333322510
73252643605
oct1012645752
9315803356
10137055210
1170400676
1239a96436
1322518b76
14142b933c
15c073e40
hex82b4bea

137055210 has 32 divisors (see below), whose sum is σ = 336958272. Its totient is φ = 35656320.

The previous prime is 137055209. The next prime is 137055223. The reversal of 137055210 is 12550731.

137055210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 54484 + ... + 56943.

It is an arithmetic number, because the mean of its divisors is an integer number (10529946).

Almost surely, 2137055210 is an apocalyptic number.

137055210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

137055210 is an abundant number, since it is smaller than the sum of its proper divisors (199903062).

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

137055210 is a wasteful number, since it uses less digits than its factorization.

137055210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111478.

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 137055210 is about 11707.0581274716. The cubic root of 137055210 is about 515.5829136632.

It can be divided in two parts, 13705 and 5210, that added together give a triangular number (18915 = T194).

The spelling of 137055210 in words is "one hundred thirty-seven million, fifty-five thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 205 246 410 615 1230 111427 222854 334281 557135 668562 1114270 1671405 3342810 4568507 9137014 13705521 22842535 27411042 45685070 68527605 137055210