Base | Representation |
---|---|
bin | 1001110100010… |
… | …1111000110000 |
3 | 2212111012022212 |
4 | 2131011320300 |
5 | 41020240340 |
6 | 4030351252 |
7 | 1010013260 |
oct | 235057060 |
9 | 85435285 |
10 | 41180720 |
11 | 21277759 |
12 | 1195b528 |
13 | 86bb0b9 |
14 | 567d7a0 |
15 | 3936a65 |
hex | 2745e30 |
41180720 has 80 divisors (see below), whose sum is σ = 110373888. Its totient is φ = 13996800.
The previous prime is 41180717. The next prime is 41180723. The reversal of 41180720 is 2708114.
It is an interprime number because it is at equal distance from previous prime (41180717) and next prime (41180723).
It is a tau number, because it is divible by the number of its divisors (80).
It is not an unprimeable number, because it can be changed into a prime (41180723) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84317 + ... + 84803.
Almost surely, 241180720 is an apocalyptic number.
41180720 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 41180720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55186944).
41180720 is an abundant number, since it is smaller than the sum of its proper divisors (69193168).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
41180720 is a wasteful number, since it uses less digits than its factorization.
41180720 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 658 (or 652 counting only the distinct ones).
The product of its (nonzero) digits is 448, while the sum is 23.
The square root of 41180720 is about 6417.2205821524. The cubic root of 41180720 is about 345.3276170979.
Adding to 41180720 its reverse (2708114), we get a palindrome (43888834).
The spelling of 41180720 in words is "forty-one million, one hundred eighty thousand, seven hundred twenty".
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