| Base | Representation |
|---|---|
| bin | 10111000111101… |
| … | …00100011100000 |
| 3 | 111111221011020010 |
| 4 | 23203310203200 |
| 5 | 344122032210 |
| 6 | 31124444520 |
| 7 | 4543313544 |
| oct | 1343644340 |
| 9 | 444834203 |
| 10 | 193939680 |
| 11 | 9a523830 |
| 12 | 54b49740 |
| 13 | 31244a0c |
| 14 | 1ba85a24 |
| 15 | 1205d920 |
| hex | b8f48e0 |
193939680 has 192 divisors, whose sum is σ = 695858688. Its totient is φ = 44943360.
The previous prime is 193939673. The next prime is 193939687. The reversal of 193939680 is 86939391.
It is a happy number.
It is an interprime number because it is at equal distance from previous prime (193939673) and next prime (193939687).
It is a super-2 number, since 2×1939396802 = 75225198957004800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (48).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (193939687) 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 31 ways as a sum of consecutive naturals, for example, 120642 + ... + 122238.
It is an arithmetic number, because the mean of its divisors is an integer number (3624264).
Almost surely, 2193939680 is an apocalyptic number.
193939680 is a gapful number since it is divisible by the number (10) 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 193939680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347929344).
193939680 is an abundant number, since it is smaller than the sum of its proper divisors (501919008).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
193939680 is a wasteful number, since it uses less digits than its factorization.
193939680 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).
The product of its (nonzero) digits is 314928, while the sum is 48.
The square root of 193939680 is about 13926.2227470337. Note that the first 3 decimals coincide. The cubic root of 193939680 is about 578.8360326896.
The spelling of 193939680 in words is "one hundred ninety-three million, nine hundred thirty-nine thousand, six hundred eighty".
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