Base | Representation |
---|---|
bin | 100000010110100… |
… | …0001010000000000 |
3 | 2210122122022122000 |
4 | 1000231001100000 |
5 | 4210344342144 |
6 | 255414544000 |
7 | 35620652430 |
oct | 10055012000 |
9 | 2718568560 |
10 | 1085543424 |
11 | 507840929 |
12 | 263668000 |
13 | 143b8b7b4 |
14 | a42582c0 |
15 | 6547c769 |
hex | 40b41400 |
1085543424 has 352 divisors, whose sum is σ = 3773030400. Its totient is φ = 301916160.
The previous prime is 1085543377. The next prime is 1085543467. The reversal of 1085543424 is 4243455801.
It is a happy number.
1085543424 is a `hidden beast` number, since 10 + 85 + 543 + 4 + 24 = 666.
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13741017 + ... + 13741095.
Almost surely, 21085543424 is an apocalyptic number.
1085543424 is a gapful number since it is divisible by the number (14) 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 1085543424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1886515200).
1085543424 is an abundant number, since it is smaller than the sum of its proper divisors (2687486976).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1085543424 is an equidigital number, since it uses as much as digits as its factorization.
1085543424 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 186 (or 162 counting only the distinct ones).
The product of its (nonzero) digits is 76800, while the sum is 36.
The square root of 1085543424 is about 32947.5860117247. The cubic root of 1085543424 is about 1027.7379660887.
The spelling of 1085543424 in words is "one billion, eighty-five million, five hundred forty-three thousand, four hundred twenty-four".
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