Base | Representation |
---|---|
bin | 110001100000111… |
… | …0101100101010000 |
3 | 11021210021012000022 |
4 | 1203001311211100 |
5 | 11400311113000 |
6 | 432510043012 |
7 | 56112613403 |
oct | 14301654520 |
9 | 4253235008 |
10 | 1661426000 |
11 | 782916a43 |
12 | 3a44a9468 |
13 | 206291b10 |
14 | 11a923d3a |
15 | 9acd4585 |
hex | 63075950 |
1661426000 has 80 divisors (see below), whose sum is σ = 4326421008. Its totient is φ = 613440000.
The previous prime is 1661425993. The next prime is 1661426009. The reversal of 1661426000 is 6241661.
It is a happy number.
It can be written as a sum of positive squares in 8 ways, for example, as 420414016 + 1241011984 = 20504^2 + 35228^2 .
It is a tau number, because it is divible by the number of its divisors (80).
It is a Harshad number since it is a multiple of its sum of digits (26).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (1661426009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5951 + ... + 57950.
Almost surely, 21661426000 is an apocalyptic number.
1661426000 is a gapful number since it is divisible by the number (10) 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 1661426000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163210504).
1661426000 is an abundant number, since it is smaller than the sum of its proper divisors (2664995008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1661426000 is a wasteful number, since it uses less digits than its factorization.
1661426000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 63937 (or 63921 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 26.
The square root of 1661426000 is about 40760.5937150086. The cubic root of 1661426000 is about 1184.3870972233.
Adding to 1661426000 its reverse (6241661), we get a palindrome (1667667661).
The spelling of 1661426000 in words is "one billion, six hundred sixty-one million, four hundred twenty-six thousand".
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