Base | Representation |
---|---|
bin | 111101111010111010000 |
3 | 10211002021110 |
4 | 13233113100 |
5 | 1004412013 |
6 | 111253320 |
7 | 23150322 |
oct | 7572720 |
9 | 3732243 |
10 | 2029008 |
11 | 1166473 |
12 | 81a240 |
13 | 5606c7 |
14 | 3ab612 |
15 | 2a12c3 |
hex | 1ef5d0 |
2029008 has 40 divisors (see below), whose sum is σ = 5374656. Its totient is φ = 659200.
The previous prime is 2029007. The next prime is 2029019. The reversal of 2029008 is 8009202.
It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2029003) 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 7 ways as a sum of consecutive naturals, for example, 1453 + ... + 2483.
22029008 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 2029008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2687328).
2029008 is an abundant number, since it is smaller than the sum of its proper divisors (3345648).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2029008 is a wasteful number, since it uses less digits than its factorization.
2029008 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1083 (or 1077 counting only the distinct ones).
The product of its (nonzero) digits is 288, while the sum is 21.
The square root of 2029008 is about 1424.4325185842. The cubic root of 2029008 is about 126.5983133827.
The spelling of 2029008 in words is "two million, twenty-nine thousand, eight".
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