Base | Representation |
---|---|
bin | 111101110101111100000 |
3 | 10210221210020 |
4 | 13232233200 |
5 | 1004321324 |
6 | 111233440 |
7 | 23140026 |
oct | 7565740 |
9 | 3727706 |
10 | 2026464 |
11 | 1164570 |
12 | 818880 |
13 | 55c4bb |
14 | 3aa716 |
15 | 2a0679 |
hex | 1eebe0 |
2026464 has 96 divisors (see below), whose sum is σ = 6168960. Its totient is φ = 576000.
The previous prime is 2026463. The next prime is 2026469. The reversal of 2026464 is 4646202.
2026464 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (24).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2026463) 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 15 ways as a sum of consecutive naturals, for example, 20014 + ... + 20114.
It is an arithmetic number, because the mean of its divisors is an integer number (64260).
22026464 is an apocalyptic number.
2026464 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 2026464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3084480).
2026464 is an abundant number, since it is smaller than the sum of its proper divisors (4142496).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2026464 is a wasteful number, since it uses less digits than its factorization.
2026464 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 136 counting only the distinct ones).
The product of its (nonzero) digits is 2304, while the sum is 24.
The square root of 2026464 is about 1423.5392513029. The cubic root of 2026464 is about 126.5453809798.
It can be divided in two parts, 202 and 6464, that added together give a palindrome (6666).
The spelling of 2026464 in words is "two million, twenty-six thousand, four hundred sixty-four".
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