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130632632 = 23132115953
BaseRepresentation
bin1111100100101…
…00101110111000
3100002210211021122
413302110232320
5231420221012
620543524412
73144234104
oct762245670
9302724248
10130632632
1167814259
12378b9708
13210aa720
14134c6904
15b705e72
hex7c94bb8

130632632 has 32 divisors (see below), whose sum is σ = 265072080. Its totient is φ = 59996160.

The previous prime is 130632631. The next prime is 130632643. The reversal of 130632632 is 236236031.

130632632 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130632631) 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, 18968 + ... + 24920.

Almost surely, 2130632632 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 130632632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132536040).

130632632 is an abundant number, since it is smaller than the sum of its proper divisors (134439448).

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

130632632 is a wasteful number, since it uses less digits than its factorization.

130632632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6183 (or 6179 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 26.

The square root of 130632632 is about 11429.4633294831. The cubic root of 130632632 is about 507.4001123511.

Adding to 130632632 its reverse (236236031), we get a palindrome (366868663).

The spelling of 130632632 in words is "one hundred thirty million, six hundred thirty-two thousand, six hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 211 422 844 1688 2743 5486 5953 10972 11906 21944 23812 47624 77389 154778 309556 619112 1256083 2512166 5024332 10048664 16329079 32658158 65316316 130632632