| Base | Representation |
|---|---|
| bin | 1000000001010100… |
| … | …1111101010000000 |
| 3 | 12120001100102012022 |
| 4 | 2000111033222000 |
| 5 | 13402140142200 |
| 6 | 553351221012 |
| 7 | 104232434603 |
| oct | 20025175200 |
| 9 | 5501312168 |
| 10 | 2153052800 |
| 11 | a05384488 |
| 12 | 501077768 |
| 13 | 2840a4952 |
| 14 | 165d3a33a |
| 15 | c9046885 |
| hex | 8054fa80 |
2153052800 has 96 divisors (see below), whose sum is σ = 5502354300. Its totient is φ = 831488000.
The previous prime is 2153052787. The next prime is 2153052817. The reversal of 2153052800 is 82503512.
It is a Cunningham number, because it is equal to 464012-1.
It can be written as a sum of positive squares in 6 ways, for example, as 1356006976 + 797045824 = 36824^2 + 28232^2 .
It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.
It is a self number, because there is not a number n which added to its sum of digits gives 2153052800.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 81200 + ... + 104400.
Almost surely, 22153052800 is an apocalyptic number.
2153052800 is a gapful number since it is divisible by the number (20) 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 2153052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2751177150).
2153052800 is an abundant number, since it is smaller than the sum of its proper divisors (3349301500).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2153052800 is a wasteful number, since it uses less digits than its factorization.
2153052800 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23254 (or 23237 counting only the distinct ones).
The product of its (nonzero) digits is 2400, while the sum is 26.
The square root of 2153052800 is about 46400.9999892244. Note that the first 4 decimals coincide. The cubic root of 2153052800 is about 1291.2734655169.
The spelling of 2153052800 in words is "two billion, one hundred fifty-three million, fifty-two thousand, eight hundred".
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