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806239980 = 223557131823
BaseRepresentation
bin110000000011100…
…011111011101100
32002012002020100000
4300003203323230
53122344134410
6212000304300
725656632610
oct6003437354
92065066300
10806239980
11384113037
121a6012090
13cb0591a0
1479111340
154abaadc0
hex300e3eec

806239980 has 288 divisors, whose sum is σ = 3123154944. Its totient is φ = 170014464.

The previous prime is 806239969. The next prime is 806240047. The reversal of 806239980 is 89932608.

806239980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 441349 + ... + 443171.

It is an arithmetic number, because the mean of its divisors is an integer number (10844288).

Almost surely, 2806239980 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806239980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1561577472).

806239980 is an abundant number, since it is smaller than the sum of its proper divisors (2316914964).

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

806239980 is a wasteful number, since it uses less digits than its factorization.

806239980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1853 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 806239980 is about 28394.3652860915. The cubic root of 806239980 is about 930.7251368448.

The spelling of 806239980 in words is "eight hundred six million, two hundred thirty-nine thousand, nine hundred eighty".