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83868330 = 23571331991
BaseRepresentation
bin1001111111110…
…11101010101010
312211210221201110
410333323222222
5132432241310
612153331150
72035604040
oct477735252
9184727643
1083868330
1143383577
1224106ab6
13144b6040
14b1d2390
157569d20
hex4ffbaaa

83868330 has 128 divisors (see below), whose sum is σ = 255983616. Its totient is φ = 17107200.

The previous prime is 83868311. The next prime is 83868331. The reversal of 83868330 is 3386838.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (83868331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 84135 + ... + 85125.

It is an arithmetic number, because the mean of its divisors is an integer number (1999872).

Almost surely, 283868330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83868330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127991808).

83868330 is an abundant number, since it is smaller than the sum of its proper divisors (172115286).

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

83868330 is a wasteful number, since it uses less digits than its factorization.

83868330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1052.

The product of its (nonzero) digits is 82944, while the sum is 39.

The square root of 83868330 is about 9157.9653853899. The cubic root of 83868330 is about 437.7229644459.

The spelling of 83868330 in words is "eighty-three million, eight hundred sixty-eight thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 30 31 35 39 42 62 65 70 78 91 93 105 130 155 182 186 195 210 217 273 310 390 403 434 455 465 546 651 806 910 930 991 1085 1209 1302 1365 1982 2015 2170 2418 2730 2821 2973 3255 4030 4955 5642 5946 6045 6510 6937 8463 9910 12090 12883 13874 14105 14865 16926 20811 25766 28210 29730 30721 34685 38649 41622 42315 61442 64415 69370 77298 84630 90181 92163 104055 128830 153605 180362 184326 193245 208110 215047 270543 307210 386490 399373 430094 450905 460815 541086 645141 798746 901810 921630 1075235 1198119 1290282 1352715 1996865 2150470 2396238 2705430 2795611 3225705 3993730 5591222 5990595 6451410 8386833 11981190 13978055 16773666 27956110 41934165 83868330