Base | Representation |
---|---|
bin | 111011011111… |
… | …0000000000000 |
3 | 2011200110110000 |
4 | 1312332000000 |
5 | 30440440234 |
6 | 3032240000 |
7 | 526041015 |
oct | 166760000 |
9 | 64613400 |
10 | 31186944 |
11 | 16671238 |
12 | a540000 |
13 | 65cc319 |
14 | 41db70c |
15 | 2b10899 |
hex | 1dbe000 |
31186944 has 140 divisors (see below), whose sum is σ = 95152464. Its totient is φ = 10174464.
The previous prime is 31186933. The next prime is 31186957. The reversal of 31186944 is 44968113.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
It is a nialpdrome in base 12.
It is a junction number, because it is equal to n+sod(n) for n = 31186899 and 31186908.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 663529 + ... + 663575.
Almost surely, 231186944 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 31186944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47576232).
31186944 is an abundant number, since it is smaller than the sum of its proper divisors (63965520).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31186944 is an frugal number, since it uses more digits than its factorization.
31186944 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 85 (or 52 counting only the distinct ones).
The product of its digits is 20736, while the sum is 36.
The square root of 31186944 is about 5584.5271957436. The cubic root of 31186944 is about 314.7682649361.
The spelling of 31186944 in words is "thirty-one million, one hundred eighty-six thousand, nine hundred forty-four".
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