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809896860 = 223356612269
BaseRepresentation
bin110000010001100…
…000101110011100
32002102222000122000
4300101200232130
53124313144420
6212210522300
726033003223
oct6021405634
92072860560
10809896860
11386190553
121a7296390
13cba39816
14797c3cba
154b17e690
hex30460b9c

809896860 has 96 divisors (see below), whose sum is σ = 2524603200. Its totient is φ = 215550720.

The previous prime is 809896859. The next prime is 809896897. The reversal of 809896860 is 68698908.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 809896797 and 809896806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 355806 + ... + 358074.

It is an arithmetic number, because the mean of its divisors is an integer number (26297950).

Almost surely, 2809896860 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 809896860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1262301600).

809896860 is an abundant number, since it is smaller than the sum of its proper divisors (1714706340).

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

809896860 is a wasteful number, since it uses less digits than its factorization.

809896860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2940 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The square root of 809896860 is about 28458.6868987309. The cubic root of 809896860 is about 932.1301846795.

The spelling of 809896860 in words is "eight hundred nine million, eight hundred ninety-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 661 1322 1983 2269 2644 3305 3966 4538 5949 6610 6807 7932 9076 9915 11345 11898 13220 13614 17847 19830 20421 22690 23796 27228 29745 34035 35694 39660 40842 45380 59490 61263 68070 71388 81684 89235 102105 118980 122526 136140 178470 204210 245052 306315 356940 408420 612630 1225260 1499809 2999618 4499427 5999236 7499045 8998854 13498281 14998090 17997708 22497135 26996562 29996180 40494843 44994270 53993124 67491405 80989686 89988540 134982810 161979372 202474215 269965620 404948430 809896860