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58315620 = 223511149593
BaseRepresentation
bin1101111001110…
…1001101100100
311001201201222210
43132131031210
5104412044440
65441523420
71305450246
oct336351544
9131651883
1058315620
112aa10430
1217643570
13c10a3ac
147a60096
1551bda80
hex379d364

58315620 has 96 divisors (see below), whose sum is σ = 179625600. Its totient is φ = 14018560.

The previous prime is 58315591. The next prime is 58315633. The reversal of 58315620 is 2651385.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 98044 + ... + 98636.

It is an arithmetic number, because the mean of its divisors is an integer number (1871100).

Almost surely, 258315620 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 58315620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89812800).

58315620 is an abundant number, since it is smaller than the sum of its proper divisors (121309980).

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

58315620 is a wasteful number, since it uses less digits than its factorization.

58315620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 763 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 58315620 is about 7636.4664603467. The cubic root of 58315620 is about 387.7885357076.

The spelling of 58315620 in words is "fifty-eight million, three hundred fifteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 149 165 220 298 330 447 593 596 660 745 894 1186 1490 1639 1779 1788 2235 2372 2965 2980 3278 3558 4470 4917 5930 6523 6556 7116 8195 8895 8940 9834 11860 13046 16390 17790 19569 19668 24585 26092 32615 32780 35580 39138 49170 65230 78276 88357 97845 98340 130460 176714 195690 265071 353428 391380 441785 530142 883570 971927 1060284 1325355 1767140 1943854 2650710 2915781 3887708 4859635 5301420 5831562 9719270 11663124 14578905 19438540 29157810 58315620