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132583086 = 232232931093
BaseRepresentation
bin1111110011100…
…00111010101110
3100020110220210200
413321300322232
5232420124321
621053414330
73166636416
oct771607256
9306426720
10132583086
11689266a9
123849a3a6
132161143c
1413873646
15b98dd26
hex7e70eae

132583086 has 48 divisors (see below), whose sum is σ = 301051296. Its totient is φ = 42090048.

The previous prime is 132583049. The next prime is 132583097. The reversal of 132583086 is 680385231.

It is a self number, because there is not a number n which added to its sum of digits gives 132583086.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120756 + ... + 121848.

It is an arithmetic number, because the mean of its divisors is an integer number (6271902).

Almost surely, 2132583086 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132583086, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150525648).

132583086 is an abundant number, since it is smaller than the sum of its proper divisors (168468210).

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

132583086 is a wasteful number, since it uses less digits than its factorization.

132583086 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 132583086 is about 11514.4728928423. The cubic root of 132583086 is about 509.9129493869.

The spelling of 132583086 in words is "one hundred thirty-two million, five hundred eighty-three thousand, eighty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 293 414 586 879 1093 1758 2186 2637 3279 5274 6558 6739 9837 13478 19674 20217 25139 40434 50278 60651 75417 121302 150834 226251 320249 452502 640498 960747 1921494 2882241 5764482 7365727 14731454 22097181 44194362 66291543 132583086