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130618620 = 2232511411609
BaseRepresentation
bin1111100100100…
…01010011111100
3100002210010001200
413302101103330
5231414243440
620543335500
73144145206
oct762212374
9302703050
10130618620
1167804780
12378b1590
13210a4232
14134c1776
15b701c30
hex7c914fc

130618620 has 144 divisors (see below), whose sum is σ = 443046240. Its totient is φ = 30873600.

The previous prime is 130618619. The next prime is 130618669. The reversal of 130618620 is 26816031.

130618620 is a `hidden beast` number, since 1 + 30 + 6 + 1 + 8 + 620 = 666.

It is a super-2 number, since 2×1306186202 = 34122447781408800, which contains 22 as substring.

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, 80376 + ... + 81984.

It is an arithmetic number, because the mean of its divisors is an integer number (3076710).

Almost surely, 2130618620 is an apocalyptic number.

130618620 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 130618620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221523120).

130618620 is an abundant number, since it is smaller than the sum of its proper divisors (312427620).

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

130618620 is a wasteful number, since it uses less digits than its factorization.

130618620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 130618620 is about 11428.8503358824. The cubic root of 130618620 is about 507.3819700118.

The spelling of 130618620 in words is "one hundred thirty million, six hundred eighteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 41 44 45 55 60 66 82 90 99 110 123 132 164 165 180 198 205 220 246 330 369 396 410 451 492 495 615 660 738 820 902 990 1230 1353 1476 1609 1804 1845 1980 2255 2460 2706 3218 3690 4059 4510 4827 5412 6436 6765 7380 8045 8118 9020 9654 13530 14481 16090 16236 17699 19308 20295 24135 27060 28962 32180 35398 40590 48270 53097 57924 65969 70796 72405 81180 88495 96540 106194 131938 144810 159291 176990 197907 212388 263876 265485 289620 318582 329845 353980 395814 530970 593721 637164 659690 725659 791628 796455 989535 1061940 1187442 1319380 1451318 1592910 1979070 2176977 2374884 2902636 2968605 3185820 3628295 3958140 4353954 5937210 6530931 7256590 8707908 10884885 11874420 13061862 14513180 21769770 26123724 32654655 43539540 65309310 130618620