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130512528 = 24322931253
BaseRepresentation
bin1111100011101…
…11011010010000
3100002120201112100
413301313122100
5231402400103
620541200400
73143223666
oct761673220
9302521470
10130512528
1167741aa3
1237860100
1321067b63
1413494c36
15b6d05a3
hex7c77690

130512528 has 60 divisors (see below), whose sum is σ = 377860860. Its totient is φ = 42002688.

The previous prime is 130512517. The next prime is 130512533. The reversal of 130512528 is 825215031.

It is a happy number.

130512528 is a `hidden beast` number, since 130 + 5 + 1 + 2 + 528 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 74442384 + 56070144 = 8628^2 + 7488^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11451 + ... + 19802.

It is an arithmetic number, because the mean of its divisors is an integer number (6297681).

Almost surely, 2130512528 is an apocalyptic number.

130512528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

130512528 is an abundant number, since it is smaller than the sum of its proper divisors (247348332).

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

130512528 is a wasteful number, since it uses less digits than its factorization.

130512528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31296 (or 31287 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 130512528 is about 11424.2079813001. The cubic root of 130512528 is about 507.2445629857.

Adding to 130512528 its reverse (825215031), we get a palindrome (955727559).

The spelling of 130512528 in words is "one hundred thirty million, five hundred twelve thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 144 174 232 261 348 464 522 696 1044 1392 2088 4176 31253 62506 93759 125012 187518 250024 281277 375036 500048 562554 750072 906337 1125108 1500144 1812674 2250216 2719011 3625348 4500432 5438022 7250696 8157033 10876044 14501392 16314066 21752088 32628132 43504176 65256264 130512528