Base | Representation |
---|---|
bin | 1001111110110… |
… | …11100110011110 |
3 | 12211120021120000 |
4 | 10333123212132 |
5 | 132414040430 |
6 | 12150435130 |
7 | 2034516111 |
oct | 477334636 |
9 | 184507500 |
10 | 83736990 |
11 | 432a3927 |
12 | 24062aa6 |
13 | 1446b31c |
14 | b19a578 |
15 | 7540e60 |
hex | 4fdb99e |
83736990 has 80 divisors (see below), whose sum is σ = 237053520. Its totient is φ = 21150720.
The previous prime is 83736977. The next prime is 83737001. The reversal of 83736990 is 9963738.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (45).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12670 + ... + 18110.
It is an arithmetic number, because the mean of its divisors is an integer number (2963169).
Almost surely, 283736990 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 83736990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118526760).
83736990 is an abundant number, since it is smaller than the sum of its proper divisors (153316530).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
83736990 is a wasteful number, since it uses less digits than its factorization.
83736990 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 5479 (or 5470 counting only the distinct ones).
The product of its (nonzero) digits is 244944, while the sum is 45.
The square root of 83736990 is about 9150.7917690220. The cubic root of 83736990 is about 437.4943498590.
The spelling of 83736990 in words is "eighty-three million, seven hundred thirty-six thousand, nine hundred ninety".
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