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58030840 = 2357239011
BaseRepresentation
bin1101110101011…
…1101011111000
311001012021100101
43131113223320
5104323441330
65431445144
71303153060
oct335275370
9131167311
1058030840
112a83647a
12175267b4
13c03a89a
1479c83a0
1551644ca
hex3757af8

58030840 has 64 divisors (see below), whose sum is σ = 155727360. Its totient is φ = 19029120.

The previous prime is 58030831. The next prime is 58030849. The reversal of 58030840 is 4803085.

It is an interprime number because it is at equal distance from previous prime (58030831) and next prime (58030849).

It is a super-2 number, since 2×580308402 = 6735156782211200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 58030799 and 58030808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58030849) by changing a digit.

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, 1935 + ... + 10945.

It is an arithmetic number, because the mean of its divisors is an integer number (2433240).

Almost surely, 258030840 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 58030840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77863680).

58030840 is an abundant number, since it is smaller than the sum of its proper divisors (97696520).

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

58030840 is a wasteful number, since it uses less digits than its factorization.

58030840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9052 (or 9048 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 58030840 is about 7617.7975819787. The cubic root of 58030840 is about 387.1562598577.

The spelling of 58030840 in words is "fifty-eight million, thirty thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 644 805 920 1288 1610 3220 6440 9011 18022 36044 45055 63077 72088 90110 126154 180220 207253 252308 315385 360440 414506 504616 630770 829012 1036265 1261540 1450771 1658024 2072530 2523080 2901542 4145060 5803084 7253855 8290120 11606168 14507710 29015420 58030840