Base | Representation |
---|---|
bin | 1001111100000… |
… | …01100000000000 |
3 | 12210212112022100 |
4 | 10332001200000 |
5 | 132320233221 |
6 | 12134510400 |
7 | 2031421131 |
oct | 476014000 |
9 | 183775270 |
10 | 83367936 |
11 | 43071623 |
12 | 23b05400 |
13 | 1436c352 |
14 | b101c88 |
15 | 74bb926 |
hex | 4f81800 |
83367936 has 72 divisors (see below), whose sum is σ = 240835140. Its totient is φ = 27783168.
The previous prime is 83367931. The next prime is 83367937. The reversal of 83367936 is 63976338.
It is a happy number.
It is a tau number, because it is divible by the number of its divisors (72).
It is a junction number, because it is equal to n+sod(n) for n = 83367891 and 83367900.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (83367931) by changing a digit.
It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 16171 + ... + 20693.
Almost surely, 283367936 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 83367936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120417570).
83367936 is an abundant number, since it is smaller than the sum of its proper divisors (157467204).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83367936 is a wasteful number, since it uses less digits than its factorization.
83367936 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 4551 (or 4528 counting only the distinct ones).
The product of its digits is 489888, while the sum is 45.
The square root of 83367936 is about 9130.6043611581. The cubic root of 83367936 is about 436.8506804295.
The spelling of 83367936 in words is "eighty-three million, three hundred sixty-seven thousand, nine hundred thirty-six".
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