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131851638 = 2344717317
BaseRepresentation
bin1111101101111…
…10010101110110
3100012002202110000
413312332111312
5232223223023
621030012130
73160502052
oct766762566
9305082400
10131851638
11684770a6
12381a7046
1321416529
1413722c62
15b897243
hex7dbe576

131851638 has 40 divisors (see below), whose sum is σ = 301748832. Its totient is φ = 43012944.

The previous prime is 131851633. The next prime is 131851669. The reversal of 131851638 is 836158131.

131851638 is a `hidden beast` number, since 1 + 3 + 18 + 5 + 1 + 638 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131851633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1045 + ... + 16272.

Almost surely, 2131851638 is an apocalyptic number.

131851638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131851638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150874416).

131851638 is an abundant number, since it is smaller than the sum of its proper divisors (169897194).

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

131851638 is a wasteful number, since it uses less digits than its factorization.

131851638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17378 (or 17369 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 131851638 is about 11482.6668505187. Note that the first 3 decimals coincide. The cubic root of 131851638 is about 508.9735062628.

The spelling of 131851638 in words is "one hundred thirty-one million, eight hundred fifty-one thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 47 54 81 94 141 162 282 423 846 1269 2538 3807 7614 17317 34634 51951 103902 155853 311706 467559 813899 935118 1402677 1627798 2441697 2805354 4883394 7325091 14650182 21975273 43950546 65925819 131851638