Base | Representation |
---|---|
bin | 1101111111000… |
… | …10000010001100 |
3 | 22011202100201200 |
4 | 12333202002030 |
5 | 220013132042 |
6 | 15350305500 |
7 | 2623120215 |
oct | 677420214 |
9 | 264670650 |
10 | 117317772 |
11 | 6024a640 |
12 | 33358290 |
13 | 1b3c8100 |
14 | 1181c40c |
15 | a475c4c |
hex | 6fe208c |
117317772 has 108 divisors (see below), whose sum is σ = 350512344. Its totient is φ = 32797440.
The previous prime is 117317771. The next prime is 117317801. The reversal of 117317772 is 277713711.
It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is not an unprimeable number, because it can be changed into a prime (117317771) 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 35 ways as a sum of consecutive naturals, for example, 66048 + ... + 67800.
Almost surely, 2117317772 is an apocalyptic number.
117317772 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 117317772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175256172).
117317772 is an abundant number, since it is smaller than the sum of its proper divisors (233194572).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
117317772 is a wasteful number, since it uses less digits than its factorization.
117317772 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1800 (or 1782 counting only the distinct ones).
The product of its digits is 14406, while the sum is 36.
The square root of 117317772 is about 10831.3328819679. The cubic root of 117317772 is about 489.5397204878.
It can be divided in two parts, 11731 and 7772, that added together give a triangular number (19503 = T197).
The spelling of 117317772 in words is "one hundred seventeen million, three hundred seventeen thousand, seven hundred seventy-two".
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