Base | Representation |
---|---|
bin | 111100111000… |
… | …0100000000000 |
3 | 2020001121101010 |
4 | 1321300200000 |
5 | 31132334310 |
6 | 3100040520 |
7 | 535204425 |
oct | 171604000 |
9 | 66047333 |
10 | 31918080 |
11 | 17020587 |
12 | a833140 |
13 | 67c704c |
14 | 434bd4c |
15 | 2c07320 |
hex | 1e70800 |
31918080 has 96 divisors (see below), whose sum is σ = 102211200. Its totient is φ = 8503296.
The previous prime is 31918079. The next prime is 31918091. The reversal of 31918080 is 8081913.
It is a tau number, because it is divible by the number of its divisors (96).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is an unprimeable number.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30201 + ... + 31239.
It is an arithmetic number, because the mean of its divisors is an integer number (1064700).
Almost surely, 231918080 is an apocalyptic number.
31918080 is a gapful number since it is divisible by the number (30) 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 31918080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51105600).
31918080 is an abundant number, since it is smaller than the sum of its proper divisors (70293120).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31918080 is a wasteful number, since it uses less digits than its factorization.
31918080 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 30.
The square root of 31918080 is about 5649.6088360169. The cubic root of 31918080 is about 317.2090624360.
Adding to 31918080 its reverse (8081913), we get a palindrome (39999993).
The spelling of 31918080 in words is "thirty-one million, nine hundred eighteen thousand, eighty".
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