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58000580 = 22511299091
BaseRepresentation
bin1101110101000…
…0010011000100
311001010201211122
43131100103010
5104322004310
65431053112
71302665621
oct335202304
9131121748
1058000580
112a815770
1217511198
13c029b91
1479bb348
15515a555
hex37504c4

58000580 has 48 divisors (see below), whose sum is σ = 137471040. Its totient is φ = 20361600.

The previous prime is 58000577. The next prime is 58000693. The reversal of 58000580 is 8500085.

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 15 ways as a sum of consecutive naturals, for example, 1835 + ... + 10925.

It is an arithmetic number, because the mean of its divisors is an integer number (2863980).

Almost surely, 258000580 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 58000580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68735520).

58000580 is an abundant number, since it is smaller than the sum of its proper divisors (79470460).

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

58000580 is a wasteful number, since it uses less digits than its factorization.

58000580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9140 (or 9138 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 26.

The square root of 58000580 is about 7615.8111846342. The cubic root of 58000580 is about 387.0889543507.

It can be divided in two parts, 580005 and 80, that added together give a palindrome (580085).

The spelling of 58000580 in words is "fifty-eight million, five hundred eighty", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 9091 18182 36364 45455 90910 100001 181820 200002 263639 400004 500005 527278 1000010 1054556 1318195 2000020 2636390 2900029 5272780 5800058 11600116 14500145 29000290 58000580