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83928360 = 23353312113
BaseRepresentation
bin1010000000010…
…10010100101000
312211221000001210
411000022110220
5132441201420
612154513120
72036244045
oct500122450
9184830053
1083928360
114341468a
12241357a0
1314507469
14b20a1cc
15757c9e0
hex500a528

83928360 has 64 divisors (see below), whose sum is σ = 252665280. Its totient is φ = 22302720.

The previous prime is 83928359. The next prime is 83928379. The reversal of 83928360 is 6382938.

It is a super-2 number, since 2×839283602 = 14087939224579200, which contains 22 as substring.

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, 38664 + ... + 40776.

It is an arithmetic number, because the mean of its divisors is an integer number (3947895).

Almost surely, 283928360 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 83928360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126332640).

83928360 is an abundant number, since it is smaller than the sum of its proper divisors (168736920).

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

83928360 is a wasteful number, since it uses less digits than its factorization.

83928360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2458 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 83928360 is about 9161.2422738404. The cubic root of 83928360 is about 437.8273751048.

The spelling of 83928360 in words is "eighty-three million, nine hundred twenty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 331 662 993 1324 1655 1986 2113 2648 3310 3972 4226 4965 6339 6620 7944 8452 9930 10565 12678 13240 16904 19860 21130 25356 31695 39720 42260 50712 63390 84520 126780 253560 699403 1398806 2098209 2797612 3497015 4196418 5595224 6994030 8392836 10491045 13988060 16785672 20982090 27976120 41964180 83928360