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130614016 = 281323019
BaseRepresentation
bin1111100100100…
…00001100000000
3100002202212202011
413302100030000
5231414122031
620543302304
73144125611
oct762201400
9302685664
10130614016
1167801275
12378aa994
13210a2100
14134bdc08
15b7006b1
hex7c90300

130614016 has 54 divisors (see below), whose sum is σ = 282409260. Its totient is φ = 60263424.

The previous prime is 130613969. The next prime is 130614053. The reversal of 130614016 is 610416031.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41755 + ... + 44773.

Almost surely, 2130614016 is an apocalyptic number.

130614016 is a gapful number since it is divisible by the number (16) 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 130614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141204630).

130614016 is an abundant number, since it is smaller than the sum of its proper divisors (151795244).

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

130614016 is an equidigital number, since it uses as much as digits as its factorization.

130614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3061 (or 3034 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 130614016 is about 11428.6489140230. The cubic root of 130614016 is about 507.3760086003.

The spelling of 130614016 in words is "one hundred thirty million, six hundred fourteen thousand, sixteen".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3019 3328 5408 6038 10816 12076 21632 24152 39247 43264 48304 78494 96608 156988 193216 313976 386432 510211 627952 772864 1020422 1255904 2040844 2511808 4081688 5023616 8163376 10047232 16326752 32653504 65307008 130614016