Base | Representation |
---|---|
bin | 100001101000110100000 |
3 | 2001222222201 |
4 | 10031012200 |
5 | 240232430 |
6 | 35342544 |
7 | 12240346 |
oct | 4150640 |
9 | 2058881 |
10 | 1102240 |
11 | 693147 |
12 | 451a54 |
13 | 2c7919 |
14 | 209996 |
15 | 16b8ca |
hex | 10d1a0 |
1102240 has 36 divisors (see below), whose sum is σ = 2635794. Its totient is φ = 435584.
The previous prime is 1102237. The next prime is 1102243. The reversal of 1102240 is 422011.
It is an interprime number because it is at equal distance from previous prime (1102237) and next prime (1102243).
It can be written as a sum of positive squares in only one way, i.e., 992016 + 110224 = 996^2 + 332^2 .
It is a Harshad number since it is a multiple of its sum of digits (10).
It is not an unprimeable number, because it can be changed into a prime (1102243) 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 5 ways as a sum of consecutive naturals, for example, 13239 + ... + 13321.
21102240 is an apocalyptic number.
1102240 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 1102240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1317897).
1102240 is an abundant number, since it is smaller than the sum of its proper divisors (1533554).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1102240 is an frugal number, since it uses more digits than its factorization.
1102240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 181 (or 90 counting only the distinct ones).
The product of its (nonzero) digits is 16, while the sum is 10.
The square root of 1102240 is about 1049.8761831759. The cubic root of 1102240 is about 103.2980339597.
Multiplying 1102240 by its sum of digits (10), we get a square (11022400 = 33202).
1102240 divided by its sum of digits (10) gives a square (110224 = 3322).
Adding to 1102240 its reverse (422011), we get a palindrome (1524251).
The spelling of 1102240 in words is "one million, one hundred two thousand, two hundred forty".
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