Base | Representation |
---|---|
bin | 11110011110011110000 |
3 | 1212201212200 |
4 | 3303303300 |
5 | 223424030 |
6 | 33223200 |
7 | 11326326 |
oct | 3636360 |
9 | 1781780 |
10 | 998640 |
11 | 622325 |
12 | 401b00 |
13 | 28c716 |
14 | 1bdd16 |
15 | 14ad60 |
hex | f3cf0 |
998640 has 120 divisors (see below), whose sum is σ = 3578640. Its totient is φ = 248832.
The previous prime is 998633. The next prime is 998651. The reversal of 998640 is 46899.
998640 is a `hidden beast` number, since 9 + 9 + 8 + 640 = 666.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nialpdrome in base 10.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 998595 and 998604.
It is a congruent number.
It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 998640.
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, 13644 + ... + 13716.
It is an arithmetic number, because the mean of its divisors is an integer number (29822).
2998640 is an apocalyptic number.
998640 is a gapful number since it is divisible by the number (90) 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 998640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1789320).
998640 is an abundant number, since it is smaller than the sum of its proper divisors (2580000).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
998640 is a wasteful number, since it uses less digits than its factorization.
998640 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 111 (or 102 counting only the distinct ones).
The product of its (nonzero) digits is 15552, while the sum is 36.
The square root of 998640 is about 999.3197686427. The cubic root of 998640 is about 99.9546461000.
The spelling of 998640 in words is "nine hundred ninety-eight thousand, six hundred forty".
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