Base | Representation |
---|---|
bin | 1001100011111… |
… | …0010010010100 |
3 | 2210110100020200 |
4 | 2120332102110 |
5 | 40231213022 |
6 | 3551300500 |
7 | 664565400 |
oct | 230762224 |
9 | 83410220 |
10 | 40101012 |
11 | 206aa536 |
12 | 1151a730 |
13 | 8400813 |
14 | 547c100 |
15 | 37c1bac |
hex | 263e494 |
40101012 has 108 divisors (see below), whose sum is σ = 119508480. Its totient is φ = 11303712.
The previous prime is 40100999. The next prime is 40101031. The reversal of 40101012 is 21010104.
It is a happy number.
It is a Harshad number since it is a multiple of its sum of digits (9).
It is a junction number, because it is equal to n+sod(n) for n = 40100985 and 40101003.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 223939 + ... + 224117.
It is an arithmetic number, because the mean of its divisors is an integer number (1106560).
Almost surely, 240101012 is an apocalyptic number.
40101012 is a gapful number since it is divisible by the number (42) 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 40101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59754240).
40101012 is an abundant number, since it is smaller than the sum of its proper divisors (79407468).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40101012 is a wasteful number, since it uses less digits than its factorization.
40101012 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 330 (or 318 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 9.
The square root of 40101012 is about 6332.5359848958. The cubic root of 40101012 is about 342.2828274974.
Adding to 40101012 its reverse (21010104), we get a palindrome (61111116).
The spelling of 40101012 in words is "forty million, one hundred one thousand, twelve".
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