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130629672 = 2334201589
BaseRepresentation
bin1111100100101…
…00000000101000
3100002210200020000
413302110000220
5231420122142
620543503000
73144222345
oct762240050
9302720200
10130629672
1167812008
12378b7a60
13210a9284
14134c57cc
15b70514c
hex7c94028

130629672 has 40 divisors (see below), whose sum is σ = 365885850. Its totient is φ = 43543008.

The previous prime is 130629671. The next prime is 130629679. The reversal of 130629672 is 276926031.

It can be written as a sum of positive squares in only one way, i.e., 113934276 + 16695396 = 10674^2 + 4086^2 .

It is a super-2 number, since 2×1306296722 = 34128222413655168, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (130629671) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 100147 + ... + 101442.

Almost surely, 2130629672 is an apocalyptic number.

130629672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130629672 is an abundant number, since it is smaller than the sum of its proper divisors (235256178).

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

130629672 is a wasteful number, since it uses less digits than its factorization.

130629672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201607 (or 201594 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 130629672 is about 11429.3338388552. Note that the first 3 decimals coincide. The cubic root of 130629672 is about 507.3962799353.

The spelling of 130629672 in words is "one hundred thirty million, six hundred twenty-nine thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 201589 403178 604767 806356 1209534 1612712 1814301 2419068 3628602 4838136 5442903 7257204 10885806 14514408 16328709 21771612 32657418 43543224 65314836 130629672