Base | Representation |
---|---|
bin | 10111100100011… |
… | …11001111000000 |
3 | 111210001011110001 |
4 | 23302033033000 |
5 | 401104001401 |
6 | 31341445344 |
7 | 4620404110 |
oct | 1362171700 |
9 | 453034401 |
10 | 197718976 |
11 | a1675214 |
12 | 56270854 |
13 | 31c68ca0 |
14 | 1c38b040 |
15 | 12558601 |
hex | bc8f3c0 |
197718976 has 112 divisors (see below), whose sum is σ = 511551936. Its totient is φ = 73580544.
The previous prime is 197718973. The next prime is 197719003. The reversal of 197718976 is 679817791.
197718976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a tau number, because it is divible by the number of its divisors (112).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (197718973) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98010 + ... + 100006.
It is an arithmetic number, because the mean of its divisors is an integer number (4567428).
Almost surely, 2197718976 is an apocalyptic number.
197718976 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 197718976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255775968).
197718976 is an abundant number, since it is smaller than the sum of its proper divisors (313832960).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
197718976 is a wasteful number, since it uses less digits than its factorization.
197718976 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 2046 (or 2036 counting only the distinct ones).
The product of its digits is 1333584, while the sum is 55.
The square root of 197718976 is about 14061.2579807071. The cubic root of 197718976 is about 582.5717899816.
The spelling of 197718976 in words is "one hundred ninety-seven million, seven hundred eighteen thousand, nine hundred seventy-six".
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