Base | Representation |
---|---|
bin | 1011100100111… |
… | …00110100000000 |
3 | 20202201202122200 |
4 | 11302130310000 |
5 | 144330030141 |
6 | 13345233200 |
7 | 2256301212 |
oct | 562346400 |
9 | 222652580 |
10 | 97111296 |
11 | 4a8a9177 |
12 | 28632800 |
13 | 17171a09 |
14 | cc7c5b2 |
15 | 87d3ab6 |
hex | 5c9cd00 |
97111296 has 108 divisors (see below), whose sum is σ = 283230948. Its totient is φ = 31997952.
The previous prime is 97111291. The next prime is 97111309. The reversal of 97111296 is 69211179.
It can be written as a sum of positive squares in 2 ways, for example, as 20793600 + 76317696 = 4560^2 + 8736^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a self number, because there is not a number n which added to its sum of digits gives 97111296.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (97111291) 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 11 ways as a sum of consecutive naturals, for example, 260166 + ... + 260538.
Almost surely, 297111296 is an apocalyptic number.
97111296 is a gapful number since it is divisible by the number (96) 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 97111296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141615474).
97111296 is an abundant number, since it is smaller than the sum of its proper divisors (186119652).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
97111296 is a wasteful number, since it uses less digits than its factorization.
97111296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 508 (or 491 counting only the distinct ones).
The product of its digits is 6804, while the sum is 36.
The square root of 97111296 is about 9854.5063803318. The cubic root of 97111296 is about 459.6457512054.
The spelling of 97111296 in words is "ninety-seven million, one hundred eleven thousand, two hundred ninety-six".
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