Base | Representation |
---|---|
bin | 1101011000000… |
… | …01000100000000 |
3 | 21211010110012001 |
4 | 12230001010000 |
5 | 212210430414 |
6 | 15044513344 |
7 | 2531462326 |
oct | 654010400 |
9 | 254113161 |
10 | 112201984 |
11 | 58376014 |
12 | 316ab854 |
13 | 1a32670b |
14 | 10c89d16 |
15 | 9cb5074 |
hex | 6b01100 |
112201984 has 36 divisors (see below), whose sum is σ = 226076620. Its totient is φ = 55572480.
The previous prime is 112201979. The next prime is 112202009. The reversal of 112201984 is 489102211.
It can be written as a sum of positive squares in 2 ways, for example, as 37552384 + 74649600 = 6128^2 + 8640^2 .
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (7) of ones.
It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 25894 + ... + 29914.
Almost surely, 2112201984 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 112201984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113038310).
112201984 is an abundant number, since it is smaller than the sum of its proper divisors (113874636).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112201984 is an equidigital number, since it uses as much as digits as its factorization.
112201984 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 4146 (or 4132 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 28.
The square root of 112201984 is about 10592.5437926874. The cubic root of 112201984 is about 482.3180467788.
The spelling of 112201984 in words is "one hundred twelve million, two hundred one thousand, nine hundred eighty-four".
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