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137982261 = 32941101383
BaseRepresentation
bin10000011100101…
…11000100110101
3100121122020002010
420032113010311
5240310413021
621405234433
73263554434
oct1016270465
9317566063
10137982261
117098412a
123a262a19
1322781b11
141447b11b
15c1a8976
hex8397135

137982261 has 32 divisors (see below), whose sum is σ = 197406720. Its totient is φ = 85568000.

The previous prime is 137982259. The next prime is 137982281. The reversal of 137982261 is 162289731.

It is a cyclic number.

It is not a de Polignac number, because 137982261 - 21 = 137982259 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137982211) 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 31 ways as a sum of consecutive naturals, for example, 360076 + ... + 360458.

It is an arithmetic number, because the mean of its divisors is an integer number (6168960).

Almost surely, 2137982261 is an apocalyptic number.

It is an amenable number.

137982261 is a deficient number, since it is larger than the sum of its proper divisors (59424459).

137982261 is a wasteful number, since it uses less digits than its factorization.

137982261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its digits is 36288, while the sum is 39.

The square root of 137982261 is about 11746.5850782259. The cubic root of 137982261 is about 516.7427820339.

The spelling of 137982261 in words is "one hundred thirty-seven million, nine hundred eighty-two thousand, two hundred sixty-one".

Divisors: 1 3 29 41 87 101 123 303 383 1149 1189 2929 3567 4141 8787 11107 12423 15703 33321 38683 47109 116049 120089 360267 455387 1121807 1366161 1586003 3365421 4758009 45994087 137982261