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130779684 = 2236743149
BaseRepresentation
bin1111100101110…
…00101000100100
3100010002022000000
413302320220210
5231434422214
620551021300
73145415610
oct762705044
9303068000
10130779684
1167904792
123796a830
132112c639
1413524340
15b734809
hex7cb8a24

130779684 has 168 divisors, whose sum is σ = 403972800. Its totient is φ = 36251712.

The previous prime is 130779667. The next prime is 130779689. The reversal of 130779684 is 486977031.

It is not an unprimeable number, because it can be changed into a prime (130779689) 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 55 ways as a sum of consecutive naturals, for example, 877642 + ... + 877790.

It is an arithmetic number, because the mean of its divisors is an integer number (2404600).

Almost surely, 2130779684 is an apocalyptic number.

130779684 is a gapful number since it is divisible by the number (14) 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 130779684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201986400).

130779684 is an abundant number, since it is smaller than the sum of its proper divisors (273193116).

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

130779684 is a wasteful number, since it uses less digits than its factorization.

130779684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The square root of 130779684 is about 11435.8945430605. The cubic root of 130779684 is about 507.5904328965.

The spelling of 130779684 in words is "one hundred thirty million, seven hundred seventy-nine thousand, six hundred eighty-four".