Base | Representation |
---|---|
bin | 1110000101010… |
… | …01000100000000 |
3 | 22020021210000000 |
4 | 13002221010000 |
5 | 220220223432 |
6 | 15420000000 |
7 | 2633054025 |
oct | 702510400 |
9 | 266253000 |
10 | 118132992 |
11 | 6075707a |
12 | 33690000 |
13 | 1b6221a3 |
14 | 1199154c |
15 | a58757c |
hex | 70a9100 |
118132992 has 144 divisors (see below), whose sum is σ = 355328960. Its totient is φ = 39191040.
The previous prime is 118132969. The next prime is 118133003. The reversal of 118132992 is 299231811.
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 (36).
It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.
Its product of digits (7776) is a multiple of the sum of its prime divisors (216).
It is an unprimeable number.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 559767 + ... + 559977.
Almost surely, 2118132992 is an apocalyptic number.
118132992 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 118132992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177664480).
118132992 is an abundant number, since it is smaller than the sum of its proper divisors (237195968).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
118132992 is an frugal number, since it uses more digits than its factorization.
118132992 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 248 (or 216 counting only the distinct ones).
The product of its digits is 7776, while the sum is 36.
The square root of 118132992 is about 10868.9002203535. The cubic root of 118132992 is about 490.6710118288.
The spelling of 118132992 in words is "one hundred eighteen million, one hundred thirty-two thousand, nine hundred ninety-two".
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