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130325632 = 271099341
BaseRepresentation
bin1111100010010…
…01110010000000
3100002020020011021
413301021302000
5231330410012
620533155224
73141515053
oct761116200
9302206137
10130325632
1167624638
123778bb14
1321000a78
1413446a9a
15b695007
hex7c49c80

130325632 has 32 divisors (see below), whose sum is σ = 262043100. Its totient is φ = 64558080.

The previous prime is 130325599. The next prime is 130325633. The reversal of 130325632 is 236523031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 130325056 + 576 = 11416^2 + 24^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 130325597 and 130325606.

It is not an unprimeable number, because it can be changed into a prime (130325633) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 9282 + ... + 18622.

Almost surely, 2130325632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130325632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131021550).

130325632 is an abundant number, since it is smaller than the sum of its proper divisors (131717468).

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

130325632 is an equidigital number, since it uses as much as digits as its factorization.

130325632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9464 (or 9452 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 25.

The square root of 130325632 is about 11416.0252277227. The cubic root of 130325632 is about 507.0023199102.

Adding to 130325632 its reverse (236523031), we get a palindrome (366848663).

The spelling of 130325632 in words is "one hundred thirty million, three hundred twenty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 109 128 218 436 872 1744 3488 6976 9341 13952 18682 37364 74728 149456 298912 597824 1018169 1195648 2036338 4072676 8145352 16290704 32581408 65162816 130325632