Base | Representation |
---|---|
bin | 101000000100… |
… | …101110000000 |
3 | 201202201021100 |
4 | 220010232000 |
5 | 10142130323 |
6 | 1013054400 |
7 | 155202036 |
oct | 50045600 |
9 | 21681240 |
10 | 10505088 |
11 | 5a256a0 |
12 | 3627400 |
13 | 223a739 |
14 | 1576556 |
15 | dc7943 |
hex | a04b80 |
10505088 has 96 divisors (see below), whose sum is σ = 33017400. Its totient is φ = 3179520.
The previous prime is 10505083. The next prime is 10505101. The reversal of 10505088 is 88050501.
It is a tau number, because it is divible by the number of its divisors (96).
It is a super-2 number, since 2×105050882 = 220713747775488, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10505083) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12258 + ... + 13086.
Almost surely, 210505088 is an apocalyptic number.
10505088 is a gapful number since it is divisible by the number (18) 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 10505088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16508700).
10505088 is an abundant number, since it is smaller than the sum of its proper divisors (22512312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10505088 is a wasteful number, since it uses less digits than its factorization.
10505088 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 860 (or 845 counting only the distinct ones).
The product of its (nonzero) digits is 1600, while the sum is 27.
The square root of 10505088 is about 3241.1553495629. The cubic root of 10505088 is about 219.0113211136.
Adding to 10505088 its reverse (88050501), we get a palindrome (98555589).
The spelling of 10505088 in words is "ten million, five hundred five thousand, eighty-eight".
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