Base | Representation |
---|---|
bin | 1001100011111… |
… | …0000010100000 |
3 | 2210110021212012 |
4 | 2120332002200 |
5 | 40231200000 |
6 | 3551252052 |
7 | 664562423 |
oct | 230760240 |
9 | 83407765 |
10 | 40100000 |
11 | 206a97a6 |
12 | 1151a028 |
13 | 8400215 |
14 | 547b9ba |
15 | 37c1735 |
hex | 263e0a0 |
40100000 has 72 divisors (see below), whose sum is σ = 98923356. Its totient is φ = 16000000.
The previous prime is 40099987. The next prime is 40100003. The reversal of 40100000 is 104.
It can be written as a sum of positive squares in 6 ways, for example, as 5776 + 40094224 = 76^2 + 6332^2 .
It is a Harshad number since it is a multiple of its sum of digits (5).
It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40100003) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99800 + ... + 100200.
Almost surely, 240100000 is an apocalyptic number.
40100000 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 40100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49461678).
40100000 is an abundant number, since it is smaller than the sum of its proper divisors (58823356).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40100000 is an frugal number, since it uses more digits than its factorization.
40100000 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 436 (or 408 counting only the distinct ones).
The product of its (nonzero) digits is 4, while the sum is 5.
The square root of 40100000 is about 6332.4560795950. The cubic root of 40100000 is about 342.2799481591.
Adding to 40100000 its reverse (104), we get a palindrome (40100104).
The spelling of 40100000 in words is "forty million, one hundred thousand".
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