Base | Representation |
---|---|
bin | 100110001110… |
… | …010010101010 |
3 | 200212001212111 |
4 | 212032102222 |
5 | 10031120020 |
6 | 554432534 |
7 | 151111600 |
oct | 46162252 |
9 | 20761774 |
10 | 10020010 |
11 | 5724200 |
12 | 343274a |
13 | 20caa00 |
14 | 148b870 |
15 | d2dd5a |
hex | 98e4aa |
10020010 has 108 divisors (see below), whose sum is σ = 24971814. Its totient is φ = 2882880.
The previous prime is 10019983. The next prime is 10020013. The reversal of 10020010 is 1002001.
It can be written as a sum of positive squares in 3 ways, for example, as 4322241 + 5697769 = 2079^2 + 2387^2 .
It is not an unprimeable number, because it can be changed into a prime (10020013) by changing a digit.
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 53 ways as a sum of consecutive naturals, for example, 770764 + ... + 770776.
Almost surely, 210020010 is an apocalyptic number.
10020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
10020010 is an abundant number, since it is smaller than the sum of its proper divisors (14951804).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10020010 is a wasteful number, since it uses less digits than its factorization.
10020010 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 69 (or 38 counting only the distinct ones).
The product of its (nonzero) digits is 2, while the sum is 4.
The square root of 10020010 is about 3165.4399378285. The cubic root of 10020010 is about 215.5870740550.
Adding to 10020010 its reverse (1002001), we get a palindrome (11022011).
Subtracting from 10020010 its reverse (1002001), we obtain a square (9018009 = 30032).
It can be divided in two parts, 100 and 20010, that multiplied together give a triangular number (2001000 = T2000).
The spelling of 10020010 in words is "ten million, twenty thousand, ten".
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