Base | Representation |
---|---|
bin | 1101011010000… |
… | …11001010001000 |
3 | 21211122012120000 |
4 | 12231003022020 |
5 | 212243111322 |
6 | 15054403000 |
7 | 2534000532 |
oct | 655031210 |
9 | 254565500 |
10 | 112472712 |
11 | 58540460 |
12 | 31800460 |
13 | 1a3bca01 |
14 | 10d1a852 |
15 | 9d1a3ac |
hex | 6b43288 |
112472712 has 160 divisors (see below), whose sum is σ = 355449600. Its totient is φ = 32918400.
The previous prime is 112472707. The next prime is 112472713. The reversal of 112472712 is 217274211.
It is a happy number.
It is a super-2 number, since 2×1124727122 = 25300221889269888, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is not an unprimeable number, because it can be changed into a prime (112472713) 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 39 ways as a sum of consecutive naturals, for example, 220714 + ... + 221222.
It is an arithmetic number, because the mean of its divisors is an integer number (2221560).
Almost surely, 2112472712 is an apocalyptic number.
112472712 is a gapful number since it is divisible by the number (12) 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 112472712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177724800).
112472712 is an abundant number, since it is smaller than the sum of its proper divisors (242976888).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
112472712 is a wasteful number, since it uses less digits than its factorization.
112472712 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 569 (or 556 counting only the distinct ones).
The product of its digits is 1568, while the sum is 27.
The square root of 112472712 is about 10605.3152711270. The cubic root of 112472712 is about 482.7056576290.
The spelling of 112472712 in words is "one hundred twelve million, four hundred seventy-two thousand, seven hundred twelve".
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