Base | Representation |
---|---|
bin | 1110011111110… |
… | …11011101010000 |
3 | 22110211202002000 |
4 | 13033323131100 |
5 | 222113204313 |
6 | 20022354000 |
7 | 3004502130 |
oct | 717733520 |
9 | 273752060 |
10 | 121616208 |
11 | 6271606a |
12 | 3488b900 |
13 | 1c27176c |
14 | 1221aac0 |
15 | aa24673 |
hex | 73fb750 |
121616208 has 160 divisors (see below), whose sum is σ = 403307520. Its totient is φ = 34369920.
The previous prime is 121616191. The next prime is 121616219. The reversal of 121616208 is 802616121.
121616208 is a `hidden beast` number, since 1 + 21 + 616 + 20 + 8 = 666.
It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a congruent number.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 395991 + ... + 396297.
It is an arithmetic number, because the mean of its divisors is an integer number (2520672).
Almost surely, 2121616208 is an apocalyptic number.
121616208 is a gapful number since it is divisible by the number (18) 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 121616208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201653760).
121616208 is an abundant number, since it is smaller than the sum of its proper divisors (281691312).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
121616208 is a wasteful number, since it uses less digits than its factorization.
121616208 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 462 (or 450 counting only the distinct ones).
The product of its (nonzero) digits is 1152, while the sum is 27.
The square root of 121616208 is about 11027.9738846263. The cubic root of 121616208 is about 495.4469425170.
It can be divided in two parts, 1216 and 16208, that added together give a square (17424 = 1322).
The spelling of 121616208 in words is "one hundred twenty-one million, six hundred sixteen thousand, two hundred eight".
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