Base | Representation |
---|---|
bin | 111011001000… |
… | …0011000010000 |
3 | 2011022222010010 |
4 | 1312100120100 |
5 | 30414000310 |
6 | 3024234520 |
7 | 524332146 |
oct | 166203020 |
9 | 64288103 |
10 | 31000080 |
11 | 16553901 |
12 | a46ba40 |
13 | 6565257 |
14 | 418d596 |
15 | 2ac5320 |
hex | 1d90610 |
31000080 has 80 divisors (see below), whose sum is σ = 98725824. Its totient is φ = 8040960.
The previous prime is 31000063. The next prime is 31000087. The reversal of 31000080 is 8000013.
It is a tau number, because it is divible by the number of its divisors (80).
It is a super-2 number, since 2×310000802 = 1922009920012800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (12).
It is not an unprimeable number, because it can be changed into a prime (31000087) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7135 + ... + 10625.
Almost surely, 231000080 is an apocalyptic number.
31000080 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 31000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49362912).
31000080 is an abundant number, since it is smaller than the sum of its proper divisors (67725744).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31000080 is a wasteful number, since it uses less digits than its factorization.
31000080 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3544 (or 3538 counting only the distinct ones).
The product of its (nonzero) digits is 24, while the sum is 12.
The square root of 31000080 is about 5567.7715470375. The cubic root of 31000080 is about 314.1383354652.
Adding to 31000080 its reverse (8000013), we get a palindrome (39000093).
The spelling of 31000080 in words is "thirty-one million, eighty", and thus it is an aban number and an uban number.
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