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58621420 = 2251113103199
BaseRepresentation
bin1101111110011…
…1110111101100
311002022021110201
43133213313230
5110001341140
65452243244
71311162634
oct337476754
9132267421
1058621420
11300aa160
1217770524
13c1b6640
147add6c4
15522e49a
hex37e7dec

58621420 has 96 divisors (see below), whose sum is σ = 146764800. Its totient is φ = 19388160.

The previous prime is 58621379. The next prime is 58621429. The reversal of 58621420 is 2412685.

It is not an unprimeable number, because it can be changed into a prime (58621429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 294481 + ... + 294679.

It is an arithmetic number, because the mean of its divisors is an integer number (1528800).

Almost surely, 258621420 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 58621420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73382400).

58621420 is an abundant number, since it is smaller than the sum of its proper divisors (88143380).

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

58621420 is a wasteful number, since it uses less digits than its factorization.

58621420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 333 counting only the distinct ones).

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

The square root of 58621420 is about 7656.4626297005. The cubic root of 58621420 is about 388.4651929105.

The spelling of 58621420 in words is "fifty-eight million, six hundred twenty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 103 110 130 143 199 206 220 260 286 398 412 515 572 715 796 995 1030 1133 1339 1430 1990 2060 2189 2266 2587 2678 2860 3980 4378 4532 5174 5356 5665 6695 8756 10348 10945 11330 12935 13390 14729 20497 21890 22660 25870 26780 28457 29458 40994 43780 51740 56914 58916 73645 81988 102485 113828 142285 147290 204970 225467 266461 284570 294580 409940 450934 532922 569140 901868 1065844 1127335 1332305 2254670 2664610 2931071 4509340 5329220 5862142 11724284 14655355 29310710 58621420