Base | Representation |
---|---|
bin | 1001111011111… |
… | …01011000000000 |
3 | 12210211200010120 |
4 | 10331331120000 |
5 | 132314213130 |
6 | 12134300240 |
7 | 2031320643 |
oct | 475753000 |
9 | 183750116 |
10 | 83351040 |
11 | 4305a963 |
12 | 23ab7680 |
13 | 14364756 |
14 | b0d9a5a |
15 | 74b6910 |
hex | 4f7d600 |
83351040 has 80 divisors (see below), whose sum is σ = 266487408. Its totient is φ = 22224896.
The previous prime is 83351039. The next prime is 83351053. The reversal of 83351040 is 4015338.
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a self number, because there is not a number n which added to its sum of digits gives 83351040.
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2254 + ... + 13106.
Almost surely, 283351040 is an apocalyptic number.
83351040 is a gapful number since it is divisible by the number (80) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83351040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133243704).
83351040 is an abundant number, since it is smaller than the sum of its proper divisors (183136368).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83351040 is a wasteful number, since it uses less digits than its factorization.
83351040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 10879 (or 10863 counting only the distinct ones).
The product of its (nonzero) digits is 1440, while the sum is 24.
The square root of 83351040 is about 9129.6790743158. The cubic root of 83351040 is about 436.8211665735.
Adding to 83351040 its reverse (4015338), we get a palindrome (87366378).
The spelling of 83351040 in words is "eighty-three million, three hundred fifty-one thousand, forty".
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