| Base | Representation |
|---|---|
| bin | 111110001001011… |
| … | …1010011000000000 |
| 3 | 12101022220212101022 |
| 4 | 1330102322120000 |
| 5 | 13232321114410 |
| 6 | 542531525012 |
| 7 | 102451014350 |
| oct | 17422723000 |
| 9 | 5338825338 |
| 10 | 2085332480 |
| 11 | 980130180 |
| 12 | 4a2459768 |
| 13 | 27305395a |
| 14 | 15ad4cb60 |
| 15 | c311b455 |
| hex | 7c4ba600 |
2085332480 has 320 divisors, whose sum is σ = 6363878400. Its totient is φ = 636518400.
The previous prime is 2085332437. The next prime is 2085332497. The reversal of 2085332480 is 842335802.
It is a tau number, because it is divible by the number of its divisors (320).
It is a super-2 number, since 2×20853324802 = 8697223104285900800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (35).
It is a self number, because there is not a number n which added to its sum of digits gives 2085332480.
It is a congruent number.
It is an unprimeable number.
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 31 ways as a sum of consecutive naturals, for example, 13995446 + ... + 13995594.
It is an arithmetic number, because the mean of its divisors is an integer number (19887120).
Almost surely, 22085332480 is an apocalyptic number.
2085332480 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 2085332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181939200).
2085332480 is an abundant number, since it is smaller than the sum of its proper divisors (4278545920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2085332480 is a wasteful number, since it uses less digits than its factorization.
2085332480 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 261 (or 245 counting only the distinct ones).
The product of its (nonzero) digits is 46080, while the sum is 35.
The square root of 2085332480 is about 45665.4407621343. The cubic root of 2085332480 is about 1277.5907807063.
The spelling of 2085332480 in words is "two billion, eighty-five million, three hundred thirty-two thousand, four hundred eighty".
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