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58080690 = 2325976653
BaseRepresentation
bin1101110110001…
…1110110110010
311001021210201200
43131203312302
5104332040230
65432512030
71303451313
oct335436662
9131253650
1058080690
112a86a978
121754b616
13c057495
1479dc60a
155174160
hex3763db2

58080690 has 48 divisors (see below), whose sum is σ = 152589528. Its totient is φ = 15326208.

The previous prime is 58080689. The next prime is 58080691. The reversal of 58080690 is 9608085.

It is an interprime number because it is at equal distance from previous prime (58080689) and next prime (58080691).

It can be written as a sum of positive squares in 4 ways, for example, as 27973521 + 30107169 = 5289^2 + 5487^2 .

It is a super-2 number, since 2×580806902 = 6746733101752200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58080691) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5404 + ... + 12056.

Almost surely, 258080690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58080690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76294764).

58080690 is an abundant number, since it is smaller than the sum of its proper divisors (94508838).

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

58080690 is a wasteful number, since it uses less digits than its factorization.

58080690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6763 (or 6760 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 58080690 is about 7621.0688226784. The cubic root of 58080690 is about 387.2670872262.

The spelling of 58080690 in words is "fifty-eight million, eighty thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 194 291 485 582 873 970 1455 1746 2910 4365 6653 8730 13306 19959 33265 39918 59877 66530 99795 119754 199590 299385 598770 645341 1290682 1936023 3226705 3872046 5808069 6453410 9680115 11616138 19360230 29040345 58080690