Base | Representation |
---|---|
bin | 1011110110000… |
… | …00011010000000 |
3 | 20220221201101200 |
4 | 11323000122000 |
5 | 200413313430 |
6 | 13505301200 |
7 | 2314332336 |
oct | 573003200 |
9 | 226851350 |
10 | 99354240 |
11 | 510a0347 |
12 | 29334800 |
13 | 177788bb |
14 | d2a3b56 |
15 | 8ac8460 |
hex | 5ec0680 |
99354240 has 192 divisors, whose sum is σ = 351336960. Its totient is φ = 25860096.
The previous prime is 99354223. The next prime is 99354253. The reversal of 99354240 is 4245399.
It is a tau number, because it is divible by the number of its divisors (192).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a plaindrome in base 13.
It is a junction number, because it is equal to n+sod(n) for n = 99354195 and 99354204.
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, 270537 + ... + 270903.
It is an arithmetic number, because the mean of its divisors is an integer number (1829880).
Almost surely, 299354240 is an apocalyptic number.
99354240 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 99354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175668480).
99354240 is an abundant number, since it is smaller than the sum of its proper divisors (251982720).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
99354240 is a wasteful number, since it uses less digits than its factorization.
99354240 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 439 (or 424 counting only the distinct ones).
The product of its (nonzero) digits is 38880, while the sum is 36.
The square root of 99354240 is about 9967.6597052668. The cubic root of 99354240 is about 463.1576075103.
The spelling of 99354240 in words is "ninety-nine million, three hundred fifty-four thousand, two hundred forty".
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