| Base | Representation |
|---|---|
| bin | 10011010010011100… |
| … | …10010000011100000 |
| 3 | 222201200022001020000 |
| 4 | 21221032102003200 |
| 5 | 132201423124430 |
| 6 | 4431313420000 |
| 7 | 514420323615 |
| oct | 115116220340 |
| 9 | 28650261200 |
| 10 | 10355286240 |
| 11 | 443431a902 |
| 12 | 200bb6a600 |
| 13 | c904a4810 |
| 14 | 70340850c |
| 15 | 40918ce60 |
| hex | 2693920e0 |
10355286240 has 240 divisors, whose sum is σ = 39357366048. Its totient is φ = 2548952064.
The previous prime is 10355286239. The next prime is 10355286241. The reversal of 10355286240 is 4268255301.
10355286240 is a `hidden beast` number, since 1 + 0 + 3 + 5 + 5 + 28 + 624 + 0 = 666.
It is an interprime number because it is at equal distance from previous prime (10355286239) and next prime (10355286241).
It is a tau number, because it is divible by the number of its divisors (240).
It is a super-3 number, since 3×103552862403 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10355286195 and 10355286204.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10355286241) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 137749 + ... + 199211.
Almost surely, 210355286240 is an apocalyptic number.
10355286240 is a gapful number since it is divisible by the number (10) 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 10355286240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19678683024).
10355286240 is an abundant number, since it is smaller than the sum of its proper divisors (29002079808).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10355286240 is a wasteful number, since it uses less digits than its factorization.
10355286240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 61503 (or 61486 counting only the distinct ones).
The product of its (nonzero) digits is 57600, while the sum is 36.
The spelling of 10355286240 in words is "ten billion, three hundred fifty-five million, two hundred eighty-six thousand, two hundred forty".
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