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130290960 = 24355310243
BaseRepresentation
bin1111100010000…
…01010100010000
3100002011110121010
413301001110100
5231323302320
620532330520
73141312012
oct761012420
9302143533
10130290960
1167600588
1237773a40
1320cbb057
14134381b2
15b689ae0
hex7c41510

130290960 has 80 divisors (see below), whose sum is σ = 411562944. Its totient is φ = 34085376.

The previous prime is 130290959. The next prime is 130290967. The reversal of 130290960 is 69092031.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130290967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7599 + ... + 17841.

Almost surely, 2130290960 is an apocalyptic number.

130290960 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 130290960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205781472).

130290960 is an abundant number, since it is smaller than the sum of its proper divisors (281271984).

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

130290960 is a wasteful number, since it uses less digits than its factorization.

130290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10312 (or 10306 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 130290960 is about 11414.5065596372. The cubic root of 130290960 is about 506.9573547378.

The spelling of 130290960 in words is "one hundred thirty million, two hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 10243 12720 20486 30729 40972 51215 61458 81944 102430 122916 153645 163888 204860 245832 307290 409720 491664 542879 614580 819440 1085758 1229160 1628637 2171516 2458320 2714395 3257274 4343032 5428790 6514548 8143185 8686064 10857580 13029096 16286370 21715160 26058192 32572740 43430320 65145480 130290960