Base | Representation |
---|---|
bin | 100100110110… |
… | …0001001000000 |
3 | 1100100102101000 |
4 | 1021230021000 |
5 | 14421123222 |
6 | 1530012000 |
7 | 323123460 |
oct | 111541100 |
9 | 40312330 |
10 | 19317312 |
11 | a9a4423 |
12 | 6577000 |
13 | 4004781 |
14 | 27cbba0 |
15 | 1a689ac |
hex | 126c240 |
19317312 has 112 divisors (see below), whose sum is σ = 64942720. Its totient is φ = 5515776.
The previous prime is 19317301. The next prime is 19317313. The reversal of 19317312 is 21371391.
It is a tau number, because it is divible by the number of its divisors (112).
It is a Harshad number since it is a multiple of its sum of digits (27).
It is a nude number because it is divisible by every one of its digits.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19317313) 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, 11298 + ... + 12894.
Almost surely, 219317312 is an apocalyptic number.
19317312 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 19317312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32471360).
19317312 is an abundant number, since it is smaller than the sum of its proper divisors (45625408).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19317312 is a wasteful number, since it uses less digits than its factorization.
19317312 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1625 (or 1609 counting only the distinct ones).
The product of its digits is 1134, while the sum is 27.
The square root of 19317312 is about 4395.1464139435. The cubic root of 19317312 is about 268.3174377718.
The spelling of 19317312 in words is "nineteen million, three hundred seventeen thousand, three hundred twelve".
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