Base | Representation |
---|---|
bin | 1101111111001… |
… | …01100010000000 |
3 | 22011210002101012 |
4 | 12333211202000 |
5 | 220014111341 |
6 | 15350500052 |
7 | 2623210040 |
oct | 677454200 |
9 | 264702335 |
10 | 117332096 |
11 | 6025a382 |
12 | 33364628 |
13 | 1b40179b |
14 | 11823720 |
15 | a47a0eb |
hex | 6fe5880 |
117332096 has 64 divisors (see below), whose sum is σ = 282890880. Its totient is φ = 47321088.
The previous prime is 117332093. The next prime is 117332099. The reversal of 117332096 is 690233711.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (117332093) and next prime (117332099).
It is a tau number, because it is divible by the number of its divisors (64).
It is a Harshad number since it is a multiple of its sum of digits (32).
It is not an unprimeable number, because it can be changed into a prime (117332093) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11381 + ... + 19083.
It is an arithmetic number, because the mean of its divisors is an integer number (4420170).
Almost surely, 2117332096 is an apocalyptic number.
117332096 is a gapful number since it is divisible by the number (16) 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 117332096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141445440).
117332096 is an abundant number, since it is smaller than the sum of its proper divisors (165558784).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117332096 is an equidigital number, since it uses as much as digits as its factorization.
117332096 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7741 (or 7729 counting only the distinct ones).
The product of its (nonzero) digits is 6804, while the sum is 32.
The square root of 117332096 is about 10831.9940915789. The cubic root of 117332096 is about 489.5596432482.
The spelling of 117332096 in words is "one hundred seventeen million, three hundred thirty-two thousand, ninety-six".
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