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58680240 = 24351391759
BaseRepresentation
bin1101111111011…
…0001110110000
311002102021011020
43133312032300
5110010231430
65453415440
71311526263
oct337661660
9132367136
1058680240
113013a373
121779a580
13c207348
147b16cda
155241b10
hex37f63b0

58680240 has 80 divisors (see below), whose sum is σ = 183321600. Its totient is φ = 15526656.

The previous prime is 58680239. The next prime is 58680263. The reversal of 58680240 is 4208685.

It is a tau number, because it is divible by the number of its divisors (80).

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, 32481 + ... + 34239.

It is an arithmetic number, because the mean of its divisors is an integer number (2291520).

Almost surely, 258680240 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 58680240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91660800).

58680240 is an abundant number, since it is smaller than the sum of its proper divisors (124641360).

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

58680240 is a wasteful number, since it uses less digits than its factorization.

58680240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1914 (or 1908 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 58680240 is about 7660.3028660752. The cubic root of 58680240 is about 388.5950765184.

The spelling of 58680240 in words is "fifty-eight million, six hundred eighty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 139 240 278 417 556 695 834 1112 1390 1668 1759 2085 2224 2780 3336 3518 4170 5277 5560 6672 7036 8340 8795 10554 11120 14072 16680 17590 21108 26385 28144 33360 35180 42216 52770 70360 84432 105540 140720 211080 244501 422160 489002 733503 978004 1222505 1467006 1956008 2445010 2934012 3667515 3912016 4890020 5868024 7335030 9780040 11736048 14670060 19560080 29340120 58680240