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58178140 = 22543611109
BaseRepresentation
bin1101110111101…
…1101001011100
311001110202101221
43131323221130
5104343200030
65434543124
71304335366
oct335735134
9131422357
1058178140
112a927109
1217597aa4
13c08c947
147a25d36
155192e7a
hex377ba5c

58178140 has 48 divisors (see below), whose sum is σ = 127179360. Its totient is φ = 22337280.

The previous prime is 58178119. The next prime is 58178167. The reversal of 58178140 is 4187185.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 58178096 and 58178105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51906 + ... + 53014.

It is an arithmetic number, because the mean of its divisors is an integer number (2649570).

Almost surely, 258178140 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 58178140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63589680).

58178140 is an abundant number, since it is smaller than the sum of its proper divisors (69001220).

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

58178140 is a wasteful number, since it uses less digits than its factorization.

58178140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1220 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 34.

The square root of 58178140 is about 7627.4596033017. The cubic root of 58178140 is about 387.4835567077.

The spelling of 58178140 in words is "fifty-eight million, one hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1109 1220 2218 2623 4436 5246 5545 10492 11090 13115 22180 26230 47687 52460 67649 95374 135298 190748 238435 270596 338245 476870 676490 953740 1352980 2908907 5817814 11635628 14544535 29089070 58178140