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130888180 = 22540916001
BaseRepresentation
bin1111100110100…
…11000111110100
3100010021210211101
413303103013310
5232001410210
620553215444
73146350123
oct763230764
9303253741
10130888180
1167979255
1237a01584
1321169b37
1413551aba
15b756a3a
hex7cd31f4

130888180 has 24 divisors (see below), whose sum is σ = 275554440. Its totient is φ = 52224000.

The previous prime is 130888171. The next prime is 130888189. The reversal of 130888180 is 81888031.

It is an interprime number because it is at equal distance from previous prime (130888171) and next prime (130888189).

It can be written as a sum of positive squares in 4 ways, for example, as 62031376 + 68856804 = 7876^2 + 8298^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130888189) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 180 + ... + 16180.

It is an arithmetic number, because the mean of its divisors is an integer number (11481435).

Almost surely, 2130888180 is an apocalyptic number.

130888180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130888180 is an abundant number, since it is smaller than the sum of its proper divisors (144666260).

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

130888180 is a wasteful number, since it uses less digits than its factorization.

130888180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16419 (or 16417 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 37.

The square root of 130888180 is about 11440.6372200153. The cubic root of 130888180 is about 507.7307612912.

The spelling of 130888180 in words is "one hundred thirty million, eight hundred eighty-eight thousand, one hundred eighty".

Divisors: 1 2 4 5 10 20 409 818 1636 2045 4090 8180 16001 32002 64004 80005 160010 320020 6544409 13088818 26177636 32722045 65444090 130888180