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130437810 = 23354111783
BaseRepresentation
bin1111100011001…
…01001010110010
3100002102221001000
413301211022302
5231343002220
620535422430
73142463106
oct761451262
9302387030
10130437810
11676a0948
1237824a16
132103cb49
1413475906
15b6b8390
hex7c652b2

130437810 has 64 divisors (see below), whose sum is σ = 356348160. Its totient is φ = 33932160.

The previous prime is 130437803. The next prime is 130437833. The reversal of 130437810 is 18734031.

It is a super-2 number, since 2×1304378102 = 34028044555192200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5179 + ... + 16961.

It is an arithmetic number, because the mean of its divisors is an integer number (5567940).

Almost surely, 2130437810 is an apocalyptic number.

130437810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130437810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178174080).

130437810 is an abundant number, since it is smaller than the sum of its proper divisors (225910350).

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

130437810 is a wasteful number, since it uses less digits than its factorization.

130437810 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11840 (or 11834 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 130437810 is about 11420.9373520740. The cubic root of 130437810 is about 507.1477458839.

The spelling of 130437810 in words is "one hundred thirty million, four hundred thirty-seven thousand, eight hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 82 90 123 135 205 246 270 369 410 615 738 1107 1230 1845 2214 3690 5535 11070 11783 23566 35349 58915 70698 106047 117830 176745 212094 318141 353490 483103 530235 636282 966206 1060470 1449309 1590705 2415515 2898618 3181410 4347927 4831030 7246545 8695854 13043781 14493090 21739635 26087562 43479270 65218905 130437810