Base | Representation |
---|---|
bin | 1001100010010… |
… | …1110010010100 |
3 | 2210021020120221 |
4 | 2120211302110 |
5 | 40220010120 |
6 | 3545204124 |
7 | 664000000 |
oct | 230456224 |
9 | 83236527 |
10 | 40000660 |
11 | 206410a7 |
12 | 11490644 |
13 | 8396c3b |
14 | 5453700 |
15 | 37a20aa |
hex | 2625c94 |
40000660 has 84 divisors (see below), whose sum is σ = 103766292. Its totient is φ = 12907776.
The previous prime is 40000651. The next prime is 40000669. The reversal of 40000660 is 6600004.
It is an interprime number because it is at equal distance from previous prime (40000651) and next prime (40000669).
It can be written as a sum of positive squares in 2 ways, for example, as 23059204 + 16941456 = 4802^2 + 4116^2 .
40000660 is a modest number, since divided by 660 gives 40 as remainder.
It is a nialpdrome in base 7.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (40000669) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 2352972 + ... + 2352988.
It is an arithmetic number, because the mean of its divisors is an integer number (1235313).
Almost surely, 240000660 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 40000660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51883146).
40000660 is an abundant number, since it is smaller than the sum of its proper divisors (63765632).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
40000660 is an frugal number, since it uses more digits than its factorization.
40000660 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 68 (or 31 counting only the distinct ones).
The product of its (nonzero) digits is 144, while the sum is 16.
The square root of 40000660 is about 6324.6074977029. The cubic root of 40000660 is about 341.9970702985.
Adding to 40000660 its reverse (6600004), we get a palindrome (46600664).
The spelling of 40000660 in words is "forty million, six hundred sixty", and thus it is an aban number.
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