Base | Representation |
---|---|
bin | 100010100101111… |
… | …101001001110000 |
3 | 1111110002010001000 |
4 | 202211331021300 |
5 | 2142034001102 |
6 | 133331242000 |
7 | 20245051560 |
oct | 4245751160 |
9 | 1443063030 |
10 | 580375152 |
11 | 278674495 |
12 | 142449300 |
13 | 93317166 |
14 | 57118da0 |
15 | 35e4301c |
hex | 2297d270 |
580375152 has 160 divisors (see below), whose sum is σ = 1913448960. Its totient is φ = 164989440.
The previous prime is 580375139. The next prime is 580375157. The reversal of 580375152 is 251573085.
580375152 is a `hidden beast` number, since 580 + 3 + 75 + 1 + 5 + 2 = 666.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (580375157) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849403 + ... + 850085.
It is an arithmetic number, because the mean of its divisors is an integer number (11959056).
Almost surely, 2580375152 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 580375152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956724480).
580375152 is an abundant number, since it is smaller than the sum of its proper divisors (1333073808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
580375152 is a wasteful number, since it uses less digits than its factorization.
580375152 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 988 (or 976 counting only the distinct ones).
The product of its (nonzero) digits is 42000, while the sum is 36.
The square root of 580375152 is about 24090.9765680016. The cubic root of 580375152 is about 834.1348573395.
The spelling of 580375152 in words is "five hundred eighty million, three hundred seventy-five thousand, one hundred fifty-two".
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