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804471120 = 243251117321
BaseRepresentation
bin101111111100110…
…100000101010000
32002001202100220200
4233330310011100
53121421033440
6211454335200
725635614565
oct5774640520
92061670820
10804471120
11383115072
121a54ba500
13ca88a01b
1478bb086c
154a95bc30
hex2ff34150

804471120 has 60 divisors (see below), whose sum is σ = 2701684596. Its totient is φ = 214525440.

The previous prime is 804471119. The next prime is 804471139. The reversal of 804471120 is 21174408.

804471120 is digitally balanced in base 2 and base 6, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 514926864 + 289544256 = 22692^2 + 17016^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 557941 + ... + 559380.

Almost surely, 2804471120 is an apocalyptic number.

804471120 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804471120 is an abundant number, since it is smaller than the sum of its proper divisors (1897213476).

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

804471120 is a wasteful number, since it uses less digits than its factorization.

804471120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117340 (or 1117331 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 804471120 is about 28363.2001015400. The cubic root of 804471120 is about 930.0439798834.

The spelling of 804471120 in words is "eight hundred four million, four hundred seventy-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 1117321 2234642 3351963 4469284 5586605 6703926 8938568 10055889 11173210 13407852 16759815 17877136 20111778 22346420 26815704 33519630 40223556 44692840 50279445 53631408 67039260 80447112 89385680 100558890 134078520 160894224 201117780 268157040 402235560 804471120