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6920085960 = 233551741879
BaseRepresentation
bin1100111000111100…
…00010000111001000
3122212021100210100000
412130132002013020
5103133020222320
63102401243000
7333325521504
oct63436020710
918767323300
106920085960
112a31232007
121411633460
138638a5a28
144990b7304
152a77d0c90
hex19c7821c8

6920085960 has 192 divisors, whose sum is σ = 24695798400. Its totient is φ = 1736764416.

The previous prime is 6920085947. The next prime is 6920085973. The reversal of 6920085960 is 695800296.

It is an interprime number because it is at equal distance from previous prime (6920085947) and next prime (6920085973).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144301 + ... + 186179.

It is an arithmetic number, because the mean of its divisors is an integer number (128623950).

Almost surely, 26920085960 is an apocalyptic number.

6920085960 is a gapful number since it is divisible by the number (60) 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 6920085960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12347899200).

6920085960 is an abundant number, since it is smaller than the sum of its proper divisors (17775712440).

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

6920085960 is a wasteful number, since it uses less digits than its factorization.

6920085960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41922 (or 41906 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 6920085960 is about 83187.0540408783. The cubic root of 6920085960 is about 1905.6237773746.

The spelling of 6920085960 in words is "six billion, nine hundred twenty million, eighty-five thousand, nine hundred sixty".