Base | Representation |
---|---|
bin | 111100101011… |
… | …1000111101000 |
3 | 2012212022202202 |
4 | 1321113013220 |
5 | 31121022440 |
6 | 3053515332 |
7 | 534262352 |
oct | 171270750 |
9 | 65768682 |
10 | 31814120 |
11 | 16a5a468 |
12 | a7a2b48 |
13 | 678b930 |
14 | 43220d2 |
15 | 2bd6615 |
hex | 1e571e8 |
31814120 has 64 divisors (see below), whose sum is σ = 77731920. Its totient is φ = 11649024.
The previous prime is 31814099. The next prime is 31814143. The reversal of 31814120 is 2141813.
It can be written as a sum of positive squares in 8 ways, for example, as 386884 + 31427236 = 622^2 + 5606^2 .
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 31814092 and 31814101.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 100202 + ... + 100518.
Almost surely, 231814120 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 31814120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38865960).
31814120 is an abundant number, since it is smaller than the sum of its proper divisors (45917800).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31814120 is a wasteful number, since it uses less digits than its factorization.
31814120 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 534 (or 530 counting only the distinct ones).
The product of its (nonzero) digits is 192, while the sum is 20.
The square root of 31814120 is about 5640.4006949861. The cubic root of 31814120 is about 316.8642952266.
Adding to 31814120 its reverse (2141813), we get a palindrome (33955933).
The spelling of 31814120 in words is "thirty-one million, eight hundred fourteen thousand, one hundred twenty".
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