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130795668 = 22331816691
BaseRepresentation
bin1111100101111…
…00100010010100
3100010010002221000
413302330202110
5231440430133
620551223300
73145513323
oct762744224
9303102830
10130795668
11679157a3
1237977b30
13211369b3
141352a0ba
15b739413
hex7cbc894

130795668 has 48 divisors (see below), whose sum is σ = 341024320. Its totient is φ = 43351200.

The previous prime is 130795657. The next prime is 130795669. The reversal of 130795668 is 866597031.

It is a happy number.

130795668 is a `hidden beast` number, since 13 + 0 + 79 + 566 + 8 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130795669) 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, 16203 + ... + 22893.

Almost surely, 2130795668 is an apocalyptic number.

130795668 is a gapful number since it is divisible by the number (18) 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 130795668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170512160).

130795668 is an abundant number, since it is smaller than the sum of its proper divisors (210228652).

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

130795668 is a wasteful number, since it uses less digits than its factorization.

130795668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6885 (or 6877 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 130795668 is about 11436.5933739029. The cubic root of 130795668 is about 507.6111114268.

The spelling of 130795668 in words is "one hundred thirty million, seven hundred ninety-five thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 181 362 543 724 1086 1629 2172 3258 4887 6516 6691 9774 13382 19548 20073 26764 40146 60219 80292 120438 180657 240876 361314 722628 1211071 2422142 3633213 4844284 7266426 10899639 14532852 21799278 32698917 43598556 65397834 130795668