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806369920 = 2751259953
BaseRepresentation
bin110000000100000…
…011101010000000
32002012022211120121
4300010003222000
53122412314140
6212003150024
725661013466
oct6004035200
92065284517
10806369920
113841a1724
121a6075314
13cb0a3385
1479146836
154abd464a
hex30103a80

806369920 has 32 divisors (see below), whose sum is σ = 1927729620. Its totient is φ = 322547712.

The previous prime is 806369917. The next prime is 806369947. The reversal of 806369920 is 29963608.

It can be written as a sum of positive squares in 2 ways, for example, as 779079744 + 27290176 = 27912^2 + 5224^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 629337 + ... + 630616.

Almost surely, 2806369920 is an apocalyptic number.

806369920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

806369920 is an abundant number, since it is smaller than the sum of its proper divisors (1121359700).

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

806369920 is a wasteful number, since it uses less digits than its factorization.

806369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259972 (or 1259960 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 806369920 is about 28396.6533239394. The cubic root of 806369920 is about 930.7751351624.

The spelling of 806369920 in words is "eight hundred six million, three hundred sixty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 1259953 2519906 5039812 6299765 10079624 12599530 20159248 25199060 40318496 50398120 80636992 100796240 161273984 201592480 403184960 806369920