Base | Representation |
---|---|
bin | 111011100110101… |
… | …1001010000101000 |
3 | 12011101100112021120 |
4 | 1313031121100220 |
5 | 13044000000130 |
6 | 530242535240 |
7 | 100363501623 |
oct | 16715312050 |
9 | 5141315246 |
10 | 2000000040 |
11 | 936a476a5 |
12 | 479967520 |
13 | 25b47739c |
14 | 14d898dba |
15 | ba8b2910 |
hex | 77359428 |
2000000040 has 128 divisors (see below), whose sum is σ = 6329664000. Its totient is φ = 504154368.
The previous prime is 2000000033. The next prime is 2000000063. The reversal of 2000000040 is 400000002.
It is a Harshad number since it is a multiple of its sum of digits (6).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a junction number, because it is equal to n+sod(n) for n = 1999999965 and 2000000028.
It is an unprimeable number.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1684327 + ... + 1685513.
It is an arithmetic number, because the mean of its divisors is an integer number (49450500).
Almost surely, 22000000040 is an apocalyptic number.
2000000040 is a gapful number since it is divisible by the number (20) 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 2000000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3164832000).
2000000040 is an abundant number, since it is smaller than the sum of its proper divisors (4329663960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2000000040 is a wasteful number, since it uses less digits than its factorization.
2000000040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1959 (or 1955 counting only the distinct ones).
The product of its (nonzero) digits is 8, while the sum is 6.
The square root of 2000000040 is about 44721.3599972094. The cubic root of 2000000040 is about 1259.9210582943.
Adding to 2000000040 its reverse (400000002), we get a palindrome (2400000042).
The spelling of 2000000040 in words is "two billion, forty", and thus it is an aban number, an eban number, and an uban number.
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