Base | Representation |
---|---|
bin | 100110001110… |
… | …101010100000 |
3 | 200212010222000 |
4 | 212032222200 |
5 | 10031142121 |
6 | 554444000 |
7 | 151116210 |
oct | 46165240 |
9 | 20763860 |
10 | 10021536 |
11 | 5725368 |
12 | 3433600 |
13 | 20cb605 |
14 | 148c240 |
15 | d2e526 |
hex | 98eaa0 |
10021536 has 96 divisors (see below), whose sum is σ = 33425280. Its totient is φ = 2861568.
The previous prime is 10021519. The next prime is 10021541. The reversal of 10021536 is 63512001.
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 (18).
It is a nialpdrome in base 6.
It is a zygodrome in base 6.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5220 + ... + 6876.
It is an arithmetic number, because the mean of its divisors is an integer number (348180).
Almost surely, 210021536 is an apocalyptic number.
10021536 is a gapful number since it is divisible by the number (16) 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 10021536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16712640).
10021536 is an abundant number, since it is smaller than the sum of its proper divisors (23403744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10021536 is a wasteful number, since it uses less digits than its factorization.
10021536 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1683 (or 1669 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 10021536 is about 3165.6809693966. The cubic root of 10021536 is about 215.5980177957.
Adding to 10021536 its reverse (63512001), we get a palindrome (73533537).
The spelling of 10021536 in words is "ten million, twenty-one thousand, five hundred thirty-six".
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