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130955076 = 22337832087
BaseRepresentation
bin1111100111000…
…11011101000100
3100010102012121000
413303203131010
5232011030301
620554453300
73150046140
oct763433504
9303365530
10130955076
1167a1453a
1237a34230
1321191415
141356c220
15b76b786
hex7ce3744

130955076 has 96 divisors (see below), whose sum is σ = 392878080. Its totient is φ = 36947232.

The previous prime is 130955047. The next prime is 130955093. The reversal of 130955076 is 670559031.

It is a happy number.

130955076 is a `hidden beast` number, since 1 + 30 + 9 + 550 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 130955076.

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, 61705 + ... + 63791.

It is an arithmetic number, because the mean of its divisors is an integer number (4092480).

Almost surely, 2130955076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130955076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196439040).

130955076 is an abundant number, since it is smaller than the sum of its proper divisors (261923004).

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

130955076 is a wasteful number, since it uses less digits than its factorization.

130955076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2182 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 130955076 is about 11443.5604599268. The cubic root of 130955076 is about 507.8172457295.

The spelling of 130955076 in words is "one hundred thirty million, nine hundred fifty-five thousand, seventy-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 83 84 108 126 166 189 249 252 332 378 498 581 747 756 996 1162 1494 1743 2087 2241 2324 2988 3486 4174 4482 5229 6261 6972 8348 8964 10458 12522 14609 15687 18783 20916 25044 29218 31374 37566 43827 56349 58436 62748 75132 87654 112698 131481 173221 175308 225396 262962 346442 394443 519663 525924 692884 788886 1039326 1212547 1558989 1577772 2078652 2425094 3117978 3637641 4676967 4850188 6235956 7275282 9353934 10912923 14550564 18707868 21825846 32738769 43651692 65477538 130955076