Base | Representation |
---|---|
bin | 100111110001… |
… | …011110000000 |
3 | 201121201010001 |
4 | 213301132000 |
5 | 10132114430 |
6 | 1011245344 |
7 | 154423126 |
oct | 47613600 |
9 | 21551101 |
10 | 10426240 |
11 | 5981430 |
12 | 35a9854 |
13 | 2210896 |
14 | 1555916 |
15 | dae3ca |
hex | 9f1780 |
10426240 has 64 divisors (see below), whose sum is σ = 27209520. Its totient is φ = 3788800.
The previous prime is 10426223. The next prime is 10426249. The reversal of 10426240 is 4262401.
It is a tau number, because it is divible by the number of its divisors (64).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10426249) 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 7 ways as a sum of consecutive naturals, for example, 6300 + ... + 7780.
Almost surely, 210426240 is an apocalyptic number.
10426240 is a gapful number since it is divisible by the number (10) 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 10426240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13604760).
10426240 is an abundant number, since it is smaller than the sum of its proper divisors (16783280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10426240 is a wasteful number, since it uses less digits than its factorization.
10426240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1511 (or 1499 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 19.
The square root of 10426240 is about 3228.9688756629. The cubic root of 10426240 is about 218.4620003144.
Adding to 10426240 its reverse (4262401), we get a palindrome (14688641).
The spelling of 10426240 in words is "ten million, four hundred twenty-six thousand, two hundred forty".
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