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130617432 = 233211831987
BaseRepresentation
bin1111100100100…
…01000001011000
3100002210001102200
413302101001120
5231414224212
620543330200
73144141561
oct762210130
9302701380
10130617432
11678038a0
12378b0960
13210a382a
14134c1168
15b7016dc
hex7c91058

130617432 has 96 divisors (see below), whose sum is σ = 390761280. Its totient is φ = 39084480.

The previous prime is 130617407. The next prime is 130617433. The reversal of 130617432 is 234716031.

130617432 is a `hidden beast` number, since 1 + 3 + 0 + 617 + 43 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 130617396 and 130617405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130617433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64743 + ... + 66729.

It is an arithmetic number, because the mean of its divisors is an integer number (4070430).

Almost surely, 2130617432 is an apocalyptic number.

130617432 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 130617432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195380640).

130617432 is an abundant number, since it is smaller than the sum of its proper divisors (260143848).

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

130617432 is a wasteful number, since it uses less digits than its factorization.

130617432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130617432 is about 11428.7983620326. The cubic root of 130617432 is about 507.3804317635.

The spelling of 130617432 in words is "one hundred thirty million, six hundred seventeen thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 83 88 99 132 166 198 249 264 332 396 498 664 747 792 913 996 1494 1826 1987 1992 2739 2988 3652 3974 5478 5961 5976 7304 7948 8217 10956 11922 15896 16434 17883 21857 21912 23844 32868 35766 43714 47688 65571 65736 71532 87428 131142 143064 164921 174856 196713 262284 329842 393426 494763 524568 659684 786852 989526 1319368 1484289 1573704 1814131 1979052 2968578 3628262 3958104 5442393 5937156 7256524 10884786 11874312 14513048 16327179 21769572 32654358 43539144 65308716 130617432