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820073480 = 23540935009
BaseRepresentation
bin110000111000010…
…101010000001000
32010011010001022212
4300320111100020
53134414322410
6213213004252
726215336532
oct6070252010
92104101285
10820073480
11390a01386
121aa783688
13100b908a5
147acb2852
154bedeb05
hex30e15408

820073480 has 32 divisors (see below), whose sum is σ = 1845984600. Its totient is φ = 327883776.

The previous prime is 820073479. The next prime is 820073519. The reversal of 820073480 is 84370028.

It can be written as a sum of positive squares in 4 ways, for example, as 617124964 + 202948516 = 24842^2 + 14246^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 161216 + ... + 166224.

Almost surely, 2820073480 is an apocalyptic number.

It is an amenable number.

820073480 is an abundant number, since it is smaller than the sum of its proper divisors (1025911120).

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

820073480 is a wasteful number, since it uses less digits than its factorization.

820073480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9113 (or 9109 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 820073480 is about 28636.9251142646. The cubic root of 820073480 is about 936.0181194291.

The spelling of 820073480 in words is "eight hundred twenty million, seventy-three thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 4093 5009 8186 10018 16372 20036 20465 25045 32744 40072 40930 50090 81860 100180 163720 200360 20501837 41003674 82007348 102509185 164014696 205018370 410036740 820073480