Base | Representation |
---|---|
bin | 100110000101… |
… | …001000100100 |
3 | 200210011102020 |
4 | 212011020210 |
5 | 10023420000 |
6 | 553543140 |
7 | 150564333 |
oct | 46051044 |
9 | 20704366 |
10 | 9982500 |
11 | 56a9000 |
12 | 3414ab0 |
13 | 20b6908 |
14 | 147bd1a |
15 | d22ba0 |
hex | 985224 |
9982500 has 120 divisors (see below), whose sum is σ = 32014752. Its totient is φ = 2420000.
The previous prime is 9982499. The next prime is 9982513. The reversal of 9982500 is 52899.
It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (33).
It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 275 × 165 × 220.
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, 907495 + ... + 907505.
Almost surely, 29982500 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 9982500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16007376).
9982500 is an abundant number, since it is smaller than the sum of its proper divisors (22032252).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
9982500 is a wasteful number, since it uses less digits than its factorization.
9982500 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 60 (or 21 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 33.
The square root of 9982500 is about 3159.5094555959. The cubic root of 9982500 is about 215.3177202643.
Multiplying 9982500 by its sum of digits (33), we get a square (329422500 = 181502).
9982500 divided by its sum of digits (33) gives a square (302500 = 5502).
The spelling of 9982500 in words is "nine million, nine hundred eighty-two thousand, five hundred".
• e-mail: info -at- numbersaplenty.com • Privacy notice • done in 0.071 sec. • engine limits •