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130381632 = 2632226357
BaseRepresentation
bin1111100010101…
…11011101000000
3100002100001222100
413301113131000
5231334203012
620534310400
73142140243
oct761273500
9302301870
10130381632
1167662717
12377b8400
13210203c4
141345d25a
15b6a68dc
hex7c57740

130381632 has 42 divisors (see below), whose sum is σ = 373717058. Its totient is φ = 43460352.

The previous prime is 130381621. The next prime is 130381639. The reversal of 130381632 is 236183031.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 129413376 + 968256 = 11376^2 + 984^2 .

It is a junction number, because it is equal to n+sod(n) for n = 130381596 and 130381605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130381639) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 112603 + ... + 113754.

Almost surely, 2130381632 is an apocalyptic number.

130381632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130381632 is an abundant number, since it is smaller than the sum of its proper divisors (243335426).

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

130381632 is a wasteful number, since it uses less digits than its factorization.

130381632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226375 (or 226362 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 130381632 is about 11418.4776568508. The cubic root of 130381632 is about 507.0749279455.

The spelling of 130381632 in words is "one hundred thirty million, three hundred eighty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 226357 452714 679071 905428 1358142 1810856 2037213 2716284 3621712 4074426 5432568 7243424 8148852 10865136 14486848 16297704 21730272 32595408 43460544 65190816 130381632