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130393188 = 22328940697
BaseRepresentation
bin1111100010110…
…10010001100100
3100002100122211100
413301122101210
5231340040223
620534440100
73142216032
oct761322144
9302318740
10130393188
1167670372
1237803030
1321025743
1413463552
15b6aa043
hex7c5a464

130393188 has 36 divisors (see below), whose sum is σ = 333316620. Its totient is φ = 42974976.

The previous prime is 130393183. The next prime is 130393199. The reversal of 130393188 is 881393031.

It can be written as a sum of positive squares in 2 ways, for example, as 9437184 + 120956004 = 3072^2 + 10998^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is not an unprimeable number, because it can be changed into a prime (130393183) 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 11 ways as a sum of consecutive naturals, for example, 17145 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (9258795).

Almost surely, 2130393188 is an apocalyptic number.

130393188 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130393188 is an abundant number, since it is smaller than the sum of its proper divisors (202923432).

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

130393188 is a wasteful number, since it uses less digits than its factorization.

130393188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40796 (or 40791 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 130393188 is about 11418.9836675599. The cubic root of 130393188 is about 507.0899085443.

The spelling of 130393188 in words is "one hundred thirty million, three hundred ninety-three thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 89 178 267 356 534 801 1068 1602 3204 40697 81394 122091 162788 244182 366273 488364 732546 1465092 3622033 7244066 10866099 14488132 21732198 32598297 43464396 65196594 130393188