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130614132 = 223111922741
BaseRepresentation
bin1111100100100…
…00001101110100
3100002202212220110
413302100031310
5231414123012
620543303020
73144126135
oct762201564
9302685813
10130614132
1167801370
12378aaa70
13210a218c
14134bdc8c
15b70073c
hex7c90374

130614132 has 72 divisors (see below), whose sum is σ = 351019872. Its totient is φ = 37483200.

The previous prime is 130614131. The next prime is 130614149. The reversal of 130614132 is 231416031.

It is a super-2 number, since 2×1306141322 = 34120102956226848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130614099 and 130614108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130614131) 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 23 ways as a sum of consecutive naturals, for example, 46282 + ... + 49022.

It is an arithmetic number, because the mean of its divisors is an integer number (4875276).

Almost surely, 2130614132 is an apocalyptic number.

130614132 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 130614132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175509936).

130614132 is an abundant number, since it is smaller than the sum of its proper divisors (220405740).

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

130614132 is a wasteful number, since it uses less digits than its factorization.

130614132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2797 (or 2776 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 130614132 is about 11428.6539889875. The cubic root of 130614132 is about 507.3761588027.

The spelling of 130614132 in words is "one hundred thirty million, six hundred fourteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1083 1254 1444 2166 2508 2741 3971 4332 5482 7942 8223 10964 11913 15884 16446 23826 30151 32892 47652 52079 60302 90453 104158 120604 156237 180906 208316 312474 361812 572869 624948 989501 1145738 1718607 1979002 2291476 2968503 3437214 3958004 5937006 6874428 10884511 11874012 21769022 32653533 43538044 65307066 130614132