Base | Representation |
---|---|
bin | 111101001111001000000 |
3 | 10202221112020 |
4 | 13221321000 |
5 | 1003202332 |
6 | 111001440 |
7 | 23025060 |
oct | 7517100 |
9 | 3687466 |
10 | 2006592 |
11 | 1150645 |
12 | 809280 |
13 | 553443 |
14 | 3a33a0 |
15 | 29982c |
hex | 1e9e40 |
2006592 has 56 divisors (see below), whose sum is σ = 6071616. Its totient is φ = 572928.
The previous prime is 2006579. The next prime is 2006603. The reversal of 2006592 is 2956002.
It is a tau number, because it is divible by the number of its divisors (56).
It is a super-2 number, since 2×20065922 = 8052822908928, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (24).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 598 + ... + 2090.
22006592 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2006592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035808).
2006592 is an abundant number, since it is smaller than the sum of its proper divisors (4065024).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2006592 is a wasteful number, since it uses less digits than its factorization.
2006592 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1515 (or 1505 counting only the distinct ones).
The product of its (nonzero) digits is 1080, while the sum is 24.
The square root of 2006592 is about 1416.5422690481. The cubic root of 2006592 is about 126.1303765123.
It can be divided in two parts, 200659 and 2, that added together give a triangular number (200661 = T633).
The spelling of 2006592 in words is "two million, six thousand, five hundred ninety-two".
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