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58123040 = 255363269
BaseRepresentation
bin1101110110111…
…0001100100000
311001100221211012
43131232030200
5104334414130
65433440052
71304015633
oct335561440
9131327735
1058123040
112a899778
1217570028
13c070841
147a0dc1a
155181995
hex376e320

58123040 has 24 divisors (see below), whose sum is σ = 137316060. Its totient is φ = 23249152.

The previous prime is 58123031. The next prime is 58123049. The reversal of 58123040 is 4032185.

58123040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (58123031) and next prime (58123049).

It can be written as a sum of positive squares in 2 ways, for example, as 56370064 + 1752976 = 7508^2 + 1324^2 .

It is a junction number, because it is equal to n+sod(n) for n = 58122997 and 58123015.

It is not an unprimeable number, because it can be changed into a prime (58123049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 181475 + ... + 181794.

Almost surely, 258123040 is an apocalyptic number.

It is an amenable number.

58123040 is an abundant number, since it is smaller than the sum of its proper divisors (79193020).

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

58123040 is a wasteful number, since it uses less digits than its factorization.

58123040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 363284 (or 363276 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

The square root of 58123040 is about 7623.8467980410. The cubic root of 58123040 is about 387.3611906566.

The spelling of 58123040 in words is "fifty-eight million, one hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 363269 726538 1453076 1816345 2906152 3632690 5812304 7265380 11624608 14530760 29061520 58123040