Base | Representation |
---|---|
bin | 11111001110110110000 |
3 | 1220222212000 |
4 | 3321312300 |
5 | 230222113 |
6 | 33534000 |
7 | 11461461 |
oct | 3716660 |
9 | 1828760 |
10 | 1023408 |
11 | 6399a1 |
12 | 414300 |
13 | 29aa89 |
14 | 1c8d68 |
15 | 153373 |
hex | f9db0 |
1023408 has 80 divisors (see below), whose sum is σ = 3095040. Its totient is φ = 323136.
The previous prime is 1023391. The next prime is 1023409. The reversal of 1023408 is 8043201.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (1023409) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9885 + ... + 9987.
It is an arithmetic number, because the mean of its divisors is an integer number (38688).
21023408 is an apocalyptic number.
1023408 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 1023408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547520).
1023408 is an abundant number, since it is smaller than the sum of its proper divisors (2071632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1023408 is a wasteful number, since it uses less digits than its factorization.
1023408 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 143 (or 131 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 18.
The square root of 1023408 is about 1011.6362982812. The cubic root of 1023408 is about 100.7742564644.
Adding to 1023408 its reverse (8043201), we get a palindrome (9066609).
It can be divided in two parts, 1023 and 408, that added together give a triangular number (1431 = T53).
The spelling of 1023408 in words is "one million, twenty-three thousand, four hundred eight".
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