| Base | Representation |
|---|---|
| bin | 110100000000101… |
| … | …000011101100000 |
| 3 | 2020210220201001100 |
| 4 | 310000220131200 |
| 5 | 3241340042320 |
| 6 | 222330234400 |
| 7 | 30423546546 |
| oct | 6400503540 |
| 9 | 2223821040 |
| 10 | 872580960 |
| 11 | 408604a99 |
| 12 | 204285a00 |
| 13 | 10ba163c4 |
| 14 | 83c5dd96 |
| 15 | 51912790 |
| hex | 34028760 |
872580960 has 144 divisors (see below), whose sum is σ = 3008861856. Its totient is φ = 230252544.
The previous prime is 872580959. The next prime is 872581001. The reversal of 872580960 is 69085278.
872580960 is a `hidden beast` number, since 8 + 7 + 2 + 580 + 9 + 60 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×8725809602 = 1522795063509043200, which contains 22 as substring.
It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 136557 + ... + 142803.
It is an arithmetic number, because the mean of its divisors is an integer number (20894874).
Almost surely, 2872580960 is an apocalyptic number.
872580960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 872580960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1504430928).
872580960 is an abundant number, since it is smaller than the sum of its proper divisors (2136280896).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
872580960 is a wasteful number, since it uses less digits than its factorization.
872580960 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 6365 (or 6354 counting only the distinct ones).
The product of its (nonzero) digits is 241920, while the sum is 45.
The square root of 872580960 is about 29539.4813766254. The cubic root of 872580960 is about 955.5833574829.
The spelling of 872580960 in words is "eight hundred seventy-two million, five hundred eighty thousand, nine hundred sixty".
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