Base | Representation |
---|---|
bin | 1001101000100… |
… | …0100011010000 |
3 | 2211000210111220 |
4 | 2122020203100 |
5 | 40320431300 |
6 | 4002005040 |
7 | 1000303263 |
oct | 232104320 |
9 | 84023456 |
10 | 40405200 |
11 | 20898030 |
12 | 11646780 |
13 | 84a9104 |
14 | 551acda |
15 | 3831da0 |
hex | 26888d0 |
40405200 has 120 divisors (see below), whose sum is σ = 141243936. Its totient is φ = 9792000.
The previous prime is 40405187. The next prime is 40405217. The reversal of 40405200 is 250404.
It is a tau number, because it is divible by the number of its divisors (120).
It is a Harshad number since it is a multiple of its sum of digits (15).
It is a self number, because there is not a number n which added to its sum of digits gives 40405200.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11670 + ... + 14730.
Almost surely, 240405200 is an apocalyptic number.
40405200 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 40405200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70621968).
40405200 is an abundant number, since it is smaller than the sum of its proper divisors (100838736).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40405200 is a wasteful number, since it uses less digits than its factorization.
40405200 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3093 (or 3082 counting only the distinct ones).
The product of its (nonzero) digits is 160, while the sum is 15.
The square root of 40405200 is about 6356.5084755705. The cubic root of 40405200 is about 343.1461155018.
Adding to 40405200 its reverse (250404), we get a palindrome (40655604).
The spelling of 40405200 in words is "forty million, four hundred five thousand, two hundred".
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