Search a number
-
+
130876980 = 223513212907
BaseRepresentation
bin1111100110100…
…00011000110100
3100010021020110120
413303100120310
5232001030410
620553051540
73146302353
oct763203064
9303236416
10130876980
11679708a3
12379b6bb0
1321164a00
141354b99a
15b753570
hex7cd0634

130876980 has 72 divisors (see below), whose sum is σ = 396843552. Its totient is φ = 32213376.

The previous prime is 130876957. The next prime is 130876987. The reversal of 130876980 is 89678031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130876987) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3687 + ... + 16593.

It is an arithmetic number, because the mean of its divisors is an integer number (5511716).

Almost surely, 2130876980 is an apocalyptic number.

130876980 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 130876980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198421776).

130876980 is an abundant number, since it is smaller than the sum of its proper divisors (265966572).

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

130876980 is a wasteful number, since it uses less digits than its factorization.

130876980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12945 (or 12930 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 130876980 is about 11440.1477263189. The cubic root of 130876980 is about 507.7162788357.

The spelling of 130876980 in words is "one hundred thirty million, eight hundred seventy-six thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 169 195 260 338 390 507 676 780 845 1014 1690 2028 2535 3380 5070 10140 12907 25814 38721 51628 64535 77442 129070 154884 167791 193605 258140 335582 387210 503373 671164 774420 838955 1006746 1677910 2013492 2181283 2516865 3355820 4362566 5033730 6543849 8725132 10067460 10906415 13087698 21812830 26175396 32719245 43625660 65438490 130876980