Base | Representation |
---|---|
bin | 101000110011… |
… | …100001111000 |
3 | 202010110021200 |
4 | 220303201320 |
5 | 10214244244 |
6 | 1021134200 |
7 | 156631035 |
oct | 50634170 |
9 | 22113250 |
10 | 10696824 |
11 | 6046756 |
12 | 36ba360 |
13 | 22a6aa8 |
14 | 15c638c |
15 | e14669 |
hex | a33878 |
10696824 has 96 divisors (see below), whose sum is σ = 30888000. Its totient is φ = 3338496.
The previous prime is 10696799. The next prime is 10696841. The reversal of 10696824 is 42869601.
Added to its reverse (42869601) it gives a triangular number (53566425 = T10350).
It is a super-2 number, since 2×106968242 = 228844087373952, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98082 + ... + 98190.
It is an arithmetic number, because the mean of its divisors is an integer number (321750).
It is a vampire number, since it can be written as 2616 ⋅ 4089 (with its own digits).
Almost surely, 210696824 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 10696824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15444000).
10696824 is an abundant number, since it is smaller than the sum of its proper divisors (20191176).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10696824 is a wasteful number, since it uses less digits than its factorization.
10696824 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 197 (or 190 counting only the distinct ones).
The product of its (nonzero) digits is 20736, while the sum is 36.
The square root of 10696824 is about 3270.5999449642. The cubic root of 10696824 is about 220.3357408106.
Adding to 10696824 its reverse (42869601), we get a triangular number (53566425 = T10350).
The spelling of 10696824 in words is "ten million, six hundred ninety-six thousand, eight hundred twenty-four".
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