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130779792 = 243311132973
BaseRepresentation
bin1111100101110…
…00101010010000
3100010002022011000
413302320222100
5231434423132
620551022000
73145416123
oct762705220
9303068130
10130779792
1167904880
123796a900
132112c6c0
14135243ba
15b73487c
hex7cb8a90

130779792 has 320 divisors, whose sum is σ = 462470400. Its totient is φ = 34836480.

The previous prime is 130779773. The next prime is 130779797. The reversal of 130779792 is 297977031.

It is not an unprimeable number, because it can be changed into a prime (130779797) 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 63 ways as a sum of consecutive naturals, for example, 1791468 + ... + 1791540.

It is an arithmetic number, because the mean of its divisors is an integer number (1445220).

Almost surely, 2130779792 is an apocalyptic number.

130779792 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 130779792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231235200).

130779792 is an abundant number, since it is smaller than the sum of its proper divisors (331690608).

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

130779792 is a wasteful number, since it uses less digits than its factorization.

130779792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 166698, while the sum is 45.

The square root of 130779792 is about 11435.8992650338. The cubic root of 130779792 is about 507.5905726219.

The spelling of 130779792 in words is "one hundred thirty million, seven hundred seventy-nine thousand, seven hundred ninety-two".