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58011690 = 23511367479
BaseRepresentation
bin1101110101001…
…1000000101010
311001011022002010
43131103000222
5104322333230
65431220350
71303043202
oct335230052
9131138063
1058011690
112a823050
12175176b6
13c031c59
1479c1402
15515d9b0
hex375302a

58011690 has 64 divisors (see below), whose sum is σ = 152616960. Its totient is φ = 13995840.

The previous prime is 58011689. The next prime is 58011697. The reversal of 58011690 is 9611085.

It is a happy number.

It is a super-2 number, since 2×580116902 = 6730712353312200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (58011697) 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, 120871 + ... + 121349.

It is an arithmetic number, because the mean of its divisors is an integer number (2384640).

Almost surely, 258011690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58011690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76308480).

58011690 is an abundant number, since it is smaller than the sum of its proper divisors (94605270).

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

58011690 is a wasteful number, since it uses less digits than its factorization.

58011690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 867.

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 58011690 is about 7616.5405532958. The cubic root of 58011690 is about 387.1136683778.

The spelling of 58011690 in words is "fifty-eight million, eleven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 367 479 734 958 1101 1437 1835 2202 2395 2874 3670 4037 4790 5269 5505 7185 8074 10538 11010 12111 14370 15807 20185 24222 26345 31614 40370 52690 60555 79035 121110 158070 175793 351586 527379 878965 1054758 1757930 1933723 2636895 3867446 5273790 5801169 9668615 11602338 19337230 29005845 58011690