Base | Representation |
---|---|
bin | 1001100100010… |
… | …1010111010000 |
3 | 2210111211000022 |
4 | 2121011113100 |
5 | 40233130000 |
6 | 3552043012 |
7 | 665046041 |
oct | 231052720 |
9 | 83454008 |
10 | 40130000 |
11 | 2071a299 |
12 | 11533468 |
13 | 8410a81 |
14 | 54888c8 |
15 | 37ca585 |
hex | 26455d0 |
40130000 has 50 divisors (see below), whose sum is σ = 97182954. Its totient is φ = 16048000.
The previous prime is 40129993. The next prime is 40130003. The reversal of 40130000 is 3104.
It can be written as a sum of positive squares in 5 ways, for example, as 8904256 + 31225744 = 2984^2 + 5588^2 .
It is a tau number, because it is divible by the number of its divisors (50).
It is a super-2 number, since 2×401300002 = 3220833800000000, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (8).
It is a self number, because there is not a number n which added to its sum of digits gives 40130000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40130003) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7994 + ... + 12006.
Almost surely, 240130000 is an apocalyptic number.
40130000 is a gapful number since it is divisible by the number (40) 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 40130000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48591477).
40130000 is an abundant number, since it is smaller than the sum of its proper divisors (57052954).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40130000 is an equidigital number, since it uses as much as digits as its factorization.
40130000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4041 (or 4020 counting only the distinct ones).
The product of its (nonzero) digits is 12, while the sum is 8.
The square root of 40130000 is about 6334.8243858847. The cubic root of 40130000 is about 342.3652834776.
Adding to 40130000 its reverse (3104), we get a palindrome (40133104).
The spelling of 40130000 in words is "forty million, one hundred thirty thousand".
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