Base | Representation |
---|---|
bin | 1101001100110… |
… | …01111101000000 |
3 | 21201100201110211 |
4 | 12212121331000 |
5 | 211321343242 |
6 | 14553203504 |
7 | 2513125054 |
oct | 646317500 |
9 | 251321424 |
10 | 110731072 |
11 | 57560991 |
12 | 31100594 |
13 | 19c3005a |
14 | 109c5c64 |
15 | 9ac4317 |
hex | 6999f40 |
110731072 has 56 divisors (see below), whose sum is σ = 225664776. Its totient is φ = 53895168.
The previous prime is 110731067. The next prime is 110731079. The reversal of 110731072 is 270137011.
It can be written as a sum of positive squares in 4 ways, for example, as 47114496 + 63616576 = 6864^2 + 7976^2 .
It is a super-2 number, since 2×1107310722 = 24522740612538368, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (110731079) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 639978 + ... + 640150.
Almost surely, 2110731072 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 110731072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112832388).
110731072 is an abundant number, since it is smaller than the sum of its proper divisors (114933704).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
110731072 is a wasteful number, since it uses less digits than its factorization.
110731072 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 395 (or 385 counting only the distinct ones).
The product of its (nonzero) digits is 294, while the sum is 22.
The square root of 110731072 is about 10522.8832550780. The cubic root of 110731072 is about 480.2011194231.
Adding to 110731072 its reverse (270137011), we get a palindrome (380868083).
The spelling of 110731072 in words is "one hundred ten million, seven hundred thirty-one thousand, seventy-two".
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