Base | Representation |
---|---|
bin | 1001111100001… |
… | …00100010001000 |
3 | 12210220011100111 |
4 | 10332010202020 |
5 | 132321132420 |
6 | 12135044104 |
7 | 2031502300 |
oct | 476044210 |
9 | 183804314 |
10 | 83380360 |
11 | 4307a998 |
12 | 23b10634 |
13 | 14374bbb |
14 | b106600 |
15 | 74c045a |
hex | 4f84888 |
83380360 has 96 divisors (see below), whose sum is σ = 229824000. Its totient is φ = 27070848.
The previous prime is 83380301. The next prime is 83380373. The reversal of 83380360 is 6308338.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36121 + ... + 38359.
It is an arithmetic number, because the mean of its divisors is an integer number (2394000).
Almost surely, 283380360 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 83380360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114912000).
83380360 is an abundant number, since it is smaller than the sum of its proper divisors (146443640).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83380360 is a wasteful number, since it uses less digits than its factorization.
83380360 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2283 (or 2272 counting only the distinct ones).
The product of its (nonzero) digits is 10368, while the sum is 31.
The square root of 83380360 is about 9131.2846850813. The cubic root of 83380360 is about 436.8723800722.
Adding to 83380360 its reverse (6308338), we get a palindrome (89688698).
The spelling of 83380360 in words is "eighty-three million, three hundred eighty thousand, three hundred sixty".
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