Base | Representation |
---|---|
bin | 111111111111110000000 |
3 | 10221112120120 |
4 | 13333332000 |
5 | 1014101044 |
6 | 112540240 |
7 | 23552526 |
oct | 7777600 |
9 | 3845516 |
10 | 2097024 |
11 | 1202586 |
12 | 851680 |
13 | 585657 |
14 | 3c8316 |
15 | 2b6519 |
hex | 1fff80 |
2097024 has 64 divisors (see below), whose sum is σ = 5744640. Its totient is φ = 677376.
The previous prime is 2097023. The next prime is 2097031. The reversal of 2097024 is 4207902.
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a nialpdrome in base 2 and base 8.
It is a zygodrome in base 2.
It is a junction number, because it is equal to n+sod(n) for n = 2096985 and 2097003.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2097023) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16449 + ... + 16575.
It is an arithmetic number, because the mean of its divisors is an integer number (89760).
22097024 is an apocalyptic number.
2097024 is a gapful number since it is divisible by the number (24) 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 2097024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872320).
2097024 is an abundant number, since it is smaller than the sum of its proper divisors (3647616).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2097024 is a wasteful number, since it uses less digits than its factorization.
2097024 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 187 (or 175 counting only the distinct ones).
The product of its (nonzero) digits is 1008, while the sum is 24.
The square root of 2097024 is about 1448.1104930219. The cubic root of 2097024 is about 127.9973957803.
The spelling of 2097024 in words is "two million, ninety-seven thousand, twenty-four".
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