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130125060 = 223251355609
BaseRepresentation
bin1111100000110…
…00110100000100
3100001212001000200
413300120310010
5231303000220
620525010500
73140021232
oct760306404
9301761020
10130125060
11674a797a
12376b3a30
1320c606a0
14133d3952
15b655890
hex7c18d04

130125060 has 72 divisors (see below), whose sum is σ = 425082840. Its totient is φ = 32030208.

The previous prime is 130125049. The next prime is 130125071. The reversal of 130125060 is 60521031.

It is an interprime number because it is at equal distance from previous prime (130125049) and next prime (130125071).

It can be written as a sum of positive squares in 4 ways, for example, as 28224 + 130096836 = 168^2 + 11406^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25465 + ... + 30144.

Almost surely, 2130125060 is an apocalyptic number.

130125060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130125060 is an abundant number, since it is smaller than the sum of its proper divisors (294957780).

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

130125060 is a wasteful number, since it uses less digits than its factorization.

130125060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55637 (or 55632 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 130125060 is about 11407.2371764595. The cubic root of 130125060 is about 506.7420930722.

Adding to 130125060 its reverse (60521031), we get a palindrome (190646091).

The spelling of 130125060 in words is "one hundred thirty million, one hundred twenty-five thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 55609 111218 166827 222436 278045 333654 500481 556090 667308 722917 834135 1000962 1112180 1445834 1668270 2001924 2168751 2502405 2891668 3336540 3614585 4337502 5004810 6506253 7229170 8675004 10009620 10843755 13012506 14458340 21687510 26025012 32531265 43375020 65062530 130125060