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130837806 = 232114171227
BaseRepresentation
bin1111100110001…
…10110100101110
3100010012020201200
413303012310232
5231443302211
620552150330
73146050221
oct763066456
9303166650
10130837806
1167944420
12379983a6
132114cc28
141353b5b8
15b746b56
hex7cc6d2e

130837806 has 96 divisors (see below), whose sum is σ = 322672896. Its totient is φ = 37968000.

The previous prime is 130837799. The next prime is 130837843. The reversal of 130837806 is 608738031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 576265 + ... + 576491.

It is an arithmetic number, because the mean of its divisors is an integer number (3361176).

Almost surely, 2130837806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130837806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161336448).

130837806 is an abundant number, since it is smaller than the sum of its proper divisors (191835090).

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

130837806 is a wasteful number, since it uses less digits than its factorization.

130837806 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 358 (or 355 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 130837806 is about 11438.4354699408. The cubic root of 130837806 is about 507.6656173614.

The spelling of 130837806 in words is "one hundred thirty million, eight hundred thirty-seven thousand, eight hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 71 82 99 123 142 198 213 227 246 369 426 451 454 639 681 738 781 902 1278 1353 1362 1562 2043 2343 2497 2706 2911 4059 4086 4686 4994 5822 7029 7491 8118 8733 9307 14058 14982 16117 17466 18614 22473 26199 27921 32021 32234 44946 48351 52398 55842 64042 83763 96063 96702 102377 145053 167526 177287 192126 204754 288189 290106 307131 354574 531861 576378 614262 660797 921393 1063722 1321594 1595583 1842786 1982391 3191166 3964782 5947173 7268767 11894346 14537534 21806301 43612602 65418903 130837806