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130632966 = 2332818609
BaseRepresentation
bin1111100100101…
…00110100000110
3100002210211202000
413302110310012
5231420223331
620543530130
73144235062
oct762246406
9302724660
10130632966
1167814532
12378b9946
13210aa919
14134c6aa2
15b7060e6
hex7c94d06

130632966 has 32 divisors (see below), whose sum is σ = 291362400. Its totient is φ = 43384320.

The previous prime is 130632959. The next prime is 130632967. The reversal of 130632966 is 669236031.

130632966 is a `hidden beast` number, since 13 + 0 + 632 + 9 + 6 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 130632966.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130632967) 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 15 ways as a sum of consecutive naturals, for example, 10870 + ... + 19478.

It is an arithmetic number, because the mean of its divisors is an integer number (9105075).

Almost surely, 2130632966 is an apocalyptic number.

130632966 is an abundant number, since it is smaller than the sum of its proper divisors (160729434).

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

130632966 is a wasteful number, since it uses less digits than its factorization.

130632966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8901 (or 8895 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 130632966 is about 11429.4779408335. The cubic root of 130632966 is about 507.4005447890.

Adding to 130632966 its reverse (669236031), we get a palindrome (799868997).

The spelling of 130632966 in words is "one hundred thirty million, six hundred thirty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 18 27 54 281 562 843 1686 2529 5058 7587 8609 15174 17218 25827 51654 77481 154962 232443 464886 2419129 4838258 7257387 14514774 21772161 43544322 65316483 130632966