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83713960 = 23511613119
BaseRepresentation
bin1001111110101…
…01111110101000
312211112002222001
410333111332220
5132412321320
612150140344
72034362011
oct477257650
9184462861
1083713960
11432885a0
12240516b4
13144609b5
14b192008
15753920a
hex4fd5fa8

83713960 has 64 divisors (see below), whose sum is σ = 208915200. Its totient is φ = 29932800.

The previous prime is 83713957. The next prime is 83713969. The reversal of 83713960 is 6931738.

It is not an unprimeable number, because it can be changed into a prime (83713969) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 25281 + ... + 28399.

It is an arithmetic number, because the mean of its divisors is an integer number (3264300).

Almost surely, 283713960 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 83713960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104457600).

83713960 is an abundant number, since it is smaller than the sum of its proper divisors (125201240).

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

83713960 is a wasteful number, since it uses less digits than its factorization.

83713960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3202 (or 3198 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 37.

The square root of 83713960 is about 9149.5333214323. The cubic root of 83713960 is about 437.4542384789.

The spelling of 83713960 in words is "eighty-three million, seven hundred thirteen thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 61 88 110 122 220 244 305 440 488 610 671 1220 1342 2440 2684 3119 3355 5368 6238 6710 12476 13420 15595 24952 26840 31190 34309 62380 68618 124760 137236 171545 190259 274472 343090 380518 686180 761036 951295 1372360 1522072 1902590 2092849 3805180 4185698 7610360 8371396 10464245 16742792 20928490 41856980 83713960