| Base | Representation |
|---|---|
| bin | 1010111100110… |
| … | …11000010000000 |
| 3 | 20101212000202201 |
| 4 | 11132123002000 |
| 5 | 142004023440 |
| 6 | 13040522544 |
| 7 | 2163543451 |
| oct | 536330200 |
| 9 | 211760681 |
| 10 | 91861120 |
| 11 | 4794268a |
| 12 | 26920454 |
| 13 | 160540c0 |
| 14 | c2b3128 |
| 15 | 80e819a |
| hex | 579b080 |
91861120 has 128 divisors (see below), whose sum is σ = 241703280. Its totient is φ = 33177600.
The previous prime is 91861117. The next prime is 91861123. The reversal of 91861120 is 2116819.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (91861117) and next prime (91861123).
It can be written as a sum of positive squares in 8 ways, for example, as 1382976 + 90478144 = 1176^2 + 9512^2 .
It is a tau number, because it is divible by the number of its divisors (128).
It is a hoax number, since the sum of its digits (28) coincides with the sum of the digits of its distinct prime factors.
It is not an unprimeable number, because it can be changed into a prime (91861123) 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 15 ways as a sum of consecutive naturals, for example, 507430 + ... + 507610.
Almost surely, 291861120 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 91861120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120851640).
91861120 is an abundant number, since it is smaller than the sum of its proper divisors (149842160).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
91861120 is a wasteful number, since it uses less digits than its factorization.
91861120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 274 (or 262 counting only the distinct ones).
The product of its (nonzero) digits is 864, while the sum is 28.
The square root of 91861120 is about 9584.4206919354. The cubic root of 91861120 is about 451.2084719164.
Adding to 91861120 its reverse (2116819), we get a palindrome (93977939).
The spelling of 91861120 in words is "ninety-one million, eight hundred sixty-one thousand, one hundred twenty".
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