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580240032 = 2539762311
BaseRepresentation
bin100010100101011…
…100001010100000
31111102211020200120
4202211130022200
52142020140112
6133324320240
720243646621
oct4245341240
91442736616
10580240032
11278591a19
121423a3080
139329a7c8
14570c1a48
1535e17e8c
hex2295c2a0

580240032 has 48 divisors (see below), whose sum is σ = 1538857152. Its totient is φ = 191416320.

The previous prime is 580240019. The next prime is 580240049. The reversal of 580240032 is 230042085.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×5802400322 = 673356989470722048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 580239984 and 580240011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21844 + ... + 40467.

It is an arithmetic number, because the mean of its divisors is an integer number (32059524).

Almost surely, 2580240032 is an apocalyptic number.

It is an amenable number.

580240032 is an abundant number, since it is smaller than the sum of its proper divisors (958617120).

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

580240032 is a wasteful number, since it uses less digits than its factorization.

580240032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62421 (or 62413 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 580240032 is about 24088.1720352541. The cubic root of 580240032 is about 834.0701192993.

The spelling of 580240032 in words is "five hundred eighty million, two hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 97 194 291 388 582 776 1164 1552 2328 3104 4656 9312 62311 124622 186933 249244 373866 498488 747732 996976 1495464 1993952 2990928 5981856 6044167 12088334 18132501 24176668 36265002 48353336 72530004 96706672 145060008 193413344 290120016 580240032