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58730280 = 23357139503
BaseRepresentation
bin1110000000001…
…0011100101000
311002111210210120
43200002130220
5110013332110
65454443240
71312125210
oct340023450
9132453716
1058730280
1130173a24
1217803520
13c22405b
147b2b240
155251870
hex3802728

58730280 has 128 divisors (see below), whose sum is σ = 203212800. Its totient is φ = 13300992.

The previous prime is 58730263. The next prime is 58730297. The reversal of 58730280 is 8203785.

It is an interprime number because it is at equal distance from previous prime (58730263) and next prime (58730297).

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, 116509 + ... + 117011.

It is an arithmetic number, because the mean of its divisors is an integer number (1587600).

Almost surely, 258730280 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 58730280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101606400).

58730280 is an abundant number, since it is smaller than the sum of its proper divisors (144482520).

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

58730280 is a wasteful number, since it uses less digits than its factorization.

58730280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 663 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 58730280 is about 7663.5683594524. The cubic root of 58730280 is about 388.7055042244.

The spelling of 58730280 in words is "fifty-eight million, seven hundred thirty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 139 140 168 210 278 280 417 420 503 556 695 834 840 973 1006 1112 1390 1509 1668 1946 2012 2085 2515 2780 2919 3018 3336 3521 3892 4024 4170 4865 5030 5560 5838 6036 7042 7545 7784 8340 9730 10060 10563 11676 12072 14084 14595 15090 16680 17605 19460 20120 21126 23352 28168 29190 30180 35210 38920 42252 52815 58380 60360 69917 70420 84504 105630 116760 139834 140840 209751 211260 279668 349585 419502 422520 489419 559336 699170 839004 978838 1048755 1398340 1468257 1678008 1957676 2097510 2447095 2796680 2936514 3915352 4195020 4894190 5873028 7341285 8390040 9788380 11746056 14682570 19576760 29365140 58730280