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58832020 = 22513713187
BaseRepresentation
bin1110000001101…
…1010010010100
311002200222100201
43200123102110
5110030111040
65500550244
71313030632
oct340332224
9132628321
1058832020
1130233405
1217852384
13c25b460
147b56352
155271a9a
hex381b494

58832020 has 48 divisors (see below), whose sum is σ = 134967168. Its totient is φ = 21409920.

The previous prime is 58832003. The next prime is 58832023. The reversal of 58832020 is 2023885.

It is a super-2 number, since 2×588320202 = 6922413154560800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 58832020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58832023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16867 + ... + 20053.

It is an arithmetic number, because the mean of its divisors is an integer number (2811816).

Almost surely, 258832020 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 58832020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67483584).

58832020 is an abundant number, since it is smaller than the sum of its proper divisors (76135148).

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

58832020 is a wasteful number, since it uses less digits than its factorization.

58832020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3280 (or 3278 counting only the distinct ones).

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

The square root of 58832020 is about 7670.2033871339. The cubic root of 58832020 is about 388.9298296429.

The spelling of 58832020 in words is "fifty-eight million, eight hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 71 130 142 260 284 355 710 923 1420 1846 3187 3692 4615 6374 9230 12748 15935 18460 31870 41431 63740 82862 165724 207155 226277 414310 452554 828620 905108 1131385 2262770 2941601 4525540 5883202 11766404 14708005 29416010 58832020