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130546632 = 23329533539
BaseRepresentation
bin1111100011111…
…11101111001000
3100002122110022110
413301333233020
5231404443012
620542022320
73143425266
oct761775710
9302573273
10130546632
1167765687
12378779a0
132107a538
14134a3436
15b6da73c
hex7c7fbc8

130546632 has 64 divisors (see below), whose sum is σ = 344088000. Its totient is φ = 41210624.

The previous prime is 130546613. The next prime is 130546639. The reversal of 130546632 is 236645031.

It is a self number, because there is not a number n which added to its sum of digits gives 130546632.

It is not an unprimeable number, because it can be changed into a prime (130546639) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35119 + ... + 38657.

It is an arithmetic number, because the mean of its divisors is an integer number (5376375).

Almost surely, 2130546632 is an apocalyptic number.

130546632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130546632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172044000).

130546632 is an abundant number, since it is smaller than the sum of its proper divisors (213541368).

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

130546632 is a wasteful number, since it uses less digits than its factorization.

130546632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3630 (or 3626 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 130546632 is about 11425.7005036890. The cubic root of 130546632 is about 507.2887415339.

The spelling of 130546632 in words is "one hundred thirty million, five hundred forty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 29 53 58 87 106 116 159 174 212 232 318 348 424 636 696 1272 1537 3074 3539 4611 6148 7078 9222 10617 12296 14156 18444 21234 28312 36888 42468 84936 102631 187567 205262 307893 375134 410524 562701 615786 750268 821048 1125402 1231572 1500536 2250804 2463144 4501608 5439443 10878886 16318329 21757772 32636658 43515544 65273316 130546632