Base | Representation |
---|---|
bin | 1010110111111… |
… | …00010100100000 |
3 | 20100122000000200 |
4 | 11123330110200 |
5 | 141322223130 |
6 | 13014545200 |
7 | 2155165254 |
oct | 533742440 |
9 | 210560020 |
10 | 91211040 |
11 | 47539228 |
12 | 26668200 |
13 | 15b8723b |
14 | c184264 |
15 | 801a760 |
hex | 56fc520 |
91211040 has 144 divisors (see below), whose sum is σ = 314948088. Its totient is φ = 24035328.
The previous prime is 91211033. The next prime is 91211047. The reversal of 91211040 is 4011219.
It is an interprime number because it is at equal distance from previous prime (91211033) and next prime (91211047).
It can be written as a sum of positive squares in 4 ways, for example, as 59536656 + 31674384 = 7716^2 + 5628^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (18).
It is not an unprimeable number, because it can be changed into a prime (91211047) 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 23 ways as a sum of consecutive naturals, for example, 139354 + ... + 140006.
Almost surely, 291211040 is an apocalyptic number.
91211040 is a gapful number since it is divisible by the number (90) 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 91211040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157474044).
91211040 is an abundant number, since it is smaller than the sum of its proper divisors (223737048).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91211040 is a wasteful number, since it uses less digits than its factorization.
91211040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 771 (or 760 counting only the distinct ones).
The product of its (nonzero) digits is 72, while the sum is 18.
The square root of 91211040 is about 9550.4471099525. The cubic root of 91211040 is about 450.1415850775.
Adding to 91211040 its reverse (4011219), we get a palindrome (95222259).
The spelling of 91211040 in words is "ninety-one million, two hundred eleven thousand, forty".
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