Base | Representation |
---|---|
bin | 111011111100… |
… | …1000011001010 |
3 | 2012010202020000 |
4 | 1313321003022 |
5 | 31021210220 |
6 | 3041343430 |
7 | 531066120 |
oct | 167710312 |
9 | 65122200 |
10 | 31428810 |
11 | 16816a26 |
12 | a637b76 |
13 | 668543a |
14 | 4261910 |
15 | 2b5c390 |
hex | 1df90ca |
31428810 has 160 divisors (see below), whose sum is σ = 101198592. Its totient is φ = 6842880.
The previous prime is 31428809. The next prime is 31428811. The reversal of 31428810 is 1882413.
It is an interprime number because it is at equal distance from previous prime (31428809) and next prime (31428811).
It is a super-3 number, since 3×314288103 (a number of 23 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a Curzon number.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (31428811) by changing a digit.
It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 130290 + ... + 130530.
Almost surely, 231428810 is an apocalyptic number.
31428810 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 31428810, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50599296).
31428810 is an abundant number, since it is smaller than the sum of its proper divisors (69769782).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
31428810 is a wasteful number, since it uses less digits than its factorization.
31428810 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 290 (or 281 counting only the distinct ones).
The product of its (nonzero) digits is 1536, while the sum is 27.
The square root of 31428810 is about 5606.1403835437. The cubic root of 31428810 is about 315.5798842157.
The spelling of 31428810 in words is "thirty-one million, four hundred twenty-eight thousand, eight hundred ten".
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