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58260120 = 23352931657
BaseRepresentation
bin1101111000111…
…1101010011000
311001121220212020
43132033222120
5104403310440
65440414440
71305126402
oct336175230
9131556766
1058260120
112a982766
1217617420
13c0bb059
147a47b72
1551ac3d0
hex378fa98

58260120 has 64 divisors (see below), whose sum is σ = 175482720. Its totient is φ = 15473664.

The previous prime is 58260113. The next prime is 58260143. The reversal of 58260120 is 2106285.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34332 + ... + 35988.

Almost surely, 258260120 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 58260120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87741360).

58260120 is an abundant number, since it is smaller than the sum of its proper divisors (117222600).

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

58260120 is a wasteful number, since it uses less digits than its factorization.

58260120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1964 (or 1960 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 58260120 is about 7632.8317156872. The cubic root of 58260120 is about 387.6654749390.

The spelling of 58260120 in words is "fifty-eight million, two hundred sixty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 293 586 879 1172 1465 1657 1758 2344 2930 3314 3516 4395 4971 5860 6628 7032 8285 8790 9942 11720 13256 16570 17580 19884 24855 33140 35160 39768 49710 66280 99420 198840 485501 971002 1456503 1942004 2427505 2913006 3884008 4855010 5826012 7282515 9710020 11652024 14565030 19420040 29130060 58260120