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58958340 = 22357229613
BaseRepresentation
bin1110000011101…
…0001000000100
311002221101122020
43200322020010
5110043131330
65503403140
71314065130
oct340721004
9132841566
1058958340
113030a301
12178b34b0
13c2a3abc
147b8a3c0
155299210
hex383a204

58958340 has 96 divisors (see below), whose sum is σ = 189799680. Its totient is φ = 13395456.

The previous prime is 58958309. The next prime is 58958359. The reversal of 58958340 is 4385985.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 58958292 and 58958301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 95874 + ... + 96486.

It is an arithmetic number, because the mean of its divisors is an integer number (1977080).

Almost surely, 258958340 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 58958340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94899840).

58958340 is an abundant number, since it is smaller than the sum of its proper divisors (130841340).

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

58958340 is a wasteful number, since it uses less digits than its factorization.

58958340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 859 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 42.

The square root of 58958340 is about 7678.4334339760. The cubic root of 58958340 is about 389.2079916336.

The spelling of 58958340 in words is "fifty-eight million, nine hundred fifty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 229 420 458 613 687 916 1145 1226 1374 1603 1839 2290 2452 2748 3065 3206 3435 3678 4291 4580 4809 6130 6412 6870 7356 8015 8582 9195 9618 12260 12873 13740 16030 17164 18390 19236 21455 24045 25746 32060 36780 42910 48090 51492 64365 85820 96180 128730 140377 257460 280754 421131 561508 701885 842262 982639 1403770 1684524 1965278 2105655 2807540 2947917 3930556 4211310 4913195 5895834 8422620 9826390 11791668 14739585 19652780 29479170 58958340