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83140596 = 223271189337
BaseRepresentation
bin1001111010010…
…01111111110100
312210102222110100
410331021333310
5132240444341
612125554100
72026453260
oct475117764
9183388410
1083140596
1142a26840
1223a15930
13142bca26
14b0830a0
1574743b6
hex4f49ff4

83140596 has 144 divisors (see below), whose sum is σ = 265749120. Its totient is φ = 21288960.

The previous prime is 83140571. The next prime is 83140609. The reversal of 83140596 is 69504138.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 83140596.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 246540 + ... + 246876.

It is an arithmetic number, because the mean of its divisors is an integer number (1845480).

Almost surely, 283140596 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 83140596, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132874560).

83140596 is an abundant number, since it is smaller than the sum of its proper divisors (182608524).

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

83140596 is a wasteful number, since it uses less digits than its factorization.

83140596 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 83140596 is about 9118.1465221831. The cubic root of 83140596 is about 436.4532292837.

The spelling of 83140596 in words is "eighty-three million, one hundred forty thousand, five hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 89 99 126 132 154 178 198 231 252 267 308 337 356 396 462 534 623 674 693 801 924 979 1011 1068 1246 1348 1386 1602 1869 1958 2022 2359 2492 2772 2937 3033 3204 3707 3738 3916 4044 4718 5607 5874 6066 6853 7077 7414 7476 8811 9436 11121 11214 11748 12132 13706 14154 14828 17622 20559 21231 22242 22428 25949 27412 28308 29993 33363 35244 41118 42462 44484 51898 59986 61677 66726 77847 82236 84924 89979 103796 119972 123354 133452 155694 179958 209951 233541 246708 269937 311388 329923 359916 419902 467082 539874 629853 659846 839804 934164 989769 1079748 1259706 1319692 1889559 1979538 2309461 2519412 2969307 3779118 3959076 4618922 5938614 6928383 7558236 9237844 11877228 13856766 20785149 27713532 41570298 83140596