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130320540 = 223257293353
BaseRepresentation
bin1111100010010…
…00100010011100
3100002012222011200
413301020202130
5231330224130
620533115500
73141464160
oct761104234
9302188150
10130320540
1167620829
1237788b90
1320ccb65c
1413444ca0
15b693760
hex7c4889c

130320540 has 144 divisors (see below), whose sum is σ = 454603968. Its totient is φ = 29601792.

The previous prime is 130320539. The next prime is 130320569. The reversal of 130320540 is 45023031.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 369004 + ... + 369356.

It is an arithmetic number, because the mean of its divisors is an integer number (3156972).

Almost surely, 2130320540 is an apocalyptic number.

130320540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130320540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227301984).

130320540 is an abundant number, since it is smaller than the sum of its proper divisors (324283428).

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

130320540 is a wasteful number, since it uses less digits than its factorization.

130320540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 130320540 is about 11415.8022057147. The cubic root of 130320540 is about 506.9957167338.

Adding to 130320540 its reverse (45023031), we get a palindrome (175343571).

The spelling of 130320540 in words is "one hundred thirty million, three hundred twenty thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 293 315 353 420 586 630 706 879 1059 1172 1260 1412 1465 1758 1765 2051 2118 2471 2637 2930 3177 3516 3530 4102 4236 4395 4942 5274 5295 5860 6153 6354 7060 7413 8204 8790 9884 10255 10548 10590 12306 12355 12708 13185 14826 15885 17580 18459 20510 21180 22239 24612 24710 26370 29652 30765 31770 36918 37065 41020 44478 49420 52740 61530 63540 73836 74130 88956 92295 103429 111195 123060 148260 184590 206858 222390 310287 369180 413716 444780 517145 620574 724003 930861 1034290 1241148 1448006 1551435 1861722 2068580 2172009 2896012 3102870 3620015 3723444 4344018 4654305 6205740 6516027 7240030 8688036 9308610 10860045 13032054 14480060 18617220 21720090 26064108 32580135 43440180 65160270 130320540