Search a number
-
+
58080000 = 28354112
BaseRepresentation
bin1101110110001…
…1101100000000
311001021202210010
43131203230000
5104332030000
65432504520
71303446306
oct335435400
9131252703
1058080000
112a86a400
121754b140
13c057084
1479dc276
155173d50
hex3763b00

58080000 has 270 divisors, whose sum is σ = 212316412. Its totient is φ = 14080000.

The previous prime is 58079981. The next prime is 58080049. The reversal of 58080000 is 8085.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 5279995 + ... + 5280005.

Almost surely, 258080000 is an apocalyptic number.

58080000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 58080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106158206).

58080000 is an abundant number, since it is smaller than the sum of its proper divisors (154236412).

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

58080000 is an equidigital number, since it uses as much as digits as its factorization.

58080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 21 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 58080000 is about 7621.0235533031. The cubic root of 58080000 is about 387.2655536393.

Adding to 58080000 its reverse (8085), we get a palindrome (58088085).

The spelling of 58080000 in words is "fifty-eight million, eighty thousand".