Base | Representation |
---|---|
bin | 1001100110000… |
… | …1110100100000 |
3 | 2210201201220100 |
4 | 2121201310200 |
5 | 40300342220 |
6 | 3554342400 |
7 | 666042624 |
oct | 231416440 |
9 | 83651810 |
10 | 40246560 |
11 | 20799922 |
12 | 1158aa00 |
13 | 8451b43 |
14 | 54b9184 |
15 | 37eed90 |
hex | 2661d20 |
40246560 has 144 divisors (see below), whose sum is σ = 144668160. Its totient is φ = 10160640.
The previous prime is 40246537. The next prime is 40246567. The reversal of 40246560 is 6564204.
It is a happy number.
40246560 is a `hidden beast` number, since 4 + 0 + 2 + 4 + 656 + 0 = 666.
It is a tau number, because it is divible by the number of its divisors (144).
It is not an unprimeable number, because it can be changed into a prime (40246567) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26625 + ... + 28095.
It is an arithmetic number, because the mean of its divisors is an integer number (1004640).
Almost surely, 240246560 is an apocalyptic number.
40246560 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 40246560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72334080).
40246560 is an abundant number, since it is smaller than the sum of its proper divisors (104421600).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40246560 is a wasteful number, since it uses less digits than its factorization.
40246560 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1511 (or 1500 counting only the distinct ones).
The product of its (nonzero) digits is 5760, while the sum is 27.
The square root of 40246560 is about 6344.0176544521. The cubic root of 40246560 is about 342.6964365892.
The spelling of 40246560 in words is "forty million, two hundred forty-six thousand, five hundred sixty".
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