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130613040 = 24335173557
BaseRepresentation
bin1111100100011…
…11111100110000
3100002202211102000
413302033330300
5231414104130
620543254000
73144123015
oct762177460
9302684360
10130613040
1167800568
12378aa300
13210a182c
14134bd70c
15b700260
hex7c8ff30

130613040 has 160 divisors (see below), whose sum is σ = 476487360. Its totient is φ = 32772096.

The previous prime is 130613029. The next prime is 130613111. The reversal of 130613040 is 40316031.

130613040 is a `hidden beast` number, since 13 + 0 + 613 + 0 + 40 = 666.

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

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, 34942 + ... + 38498.

It is an arithmetic number, because the mean of its divisors is an integer number (2978046).

Almost surely, 2130613040 is an apocalyptic number.

130613040 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 130613040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238243680).

130613040 is an abundant number, since it is smaller than the sum of its proper divisors (345874320).

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

130613040 is a wasteful number, since it uses less digits than its factorization.

130613040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3596 (or 3584 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 130613040 is about 11428.6062142328. The cubic root of 130613040 is about 507.3747448252.

Adding to 130613040 its reverse (40316031), we get a palindrome (170929071).

The spelling of 130613040 in words is "one hundred thirty million, six hundred thirteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 27 30 34 36 40 45 48 51 54 60 68 72 80 85 90 102 108 120 135 136 144 153 170 180 204 216 240 255 270 272 306 340 360 408 432 459 510 540 612 680 720 765 816 918 1020 1080 1224 1360 1530 1836 2040 2160 2295 2448 3060 3557 3672 4080 4590 6120 7114 7344 9180 10671 12240 14228 17785 18360 21342 28456 32013 35570 36720 42684 53355 56912 60469 64026 71140 85368 96039 106710 120938 128052 142280 160065 170736 181407 192078 213420 241876 256104 284560 302345 320130 362814 384156 426840 480195 483752 512208 544221 604690 640260 725628 768312 853680 907035 960390 967504 1088442 1209380 1280520 1451256 1536624 1632663 1814070 1920780 2176884 2418760 2561040 2721105 2902512 3265326 3628140 3841560 4353768 4837520 5442210 6530652 7256280 7683120 8163315 8707536 10884420 13061304 14512560 16326630 21768840 26122608 32653260 43537680 65306520 130613040