Base | Representation |
---|---|
bin | 100110000100… |
… | …0010100010110 |
3 | 1101112220212200 |
4 | 1030020110112 |
5 | 20102111024 |
6 | 1551425330 |
7 | 331426500 |
oct | 114102426 |
9 | 41486780 |
10 | 19957014 |
11 | 102a1000 |
12 | 6825246 |
13 | 41999ac |
14 | 2916d70 |
15 | 1b432c9 |
hex | 1308516 |
19957014 has 144 divisors (see below), whose sum is σ = 58580496. Its totient is φ = 4878720.
The previous prime is 19957009. The next prime is 19957033. The reversal of 19957014 is 41075991.
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 Curzon number.
It is a self number, because there is not a number n which added to its sum of digits gives 19957014.
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1173934 + ... + 1173950.
It is an arithmetic number, because the mean of its divisors is an integer number (406809).
Almost surely, 219957014 is an apocalyptic number.
19957014 is a gapful number since it is divisible by the number (14) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 19957014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29290248).
19957014 is an abundant number, since it is smaller than the sum of its proper divisors (38623482).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19957014 is a wasteful number, since it uses less digits than its factorization.
19957014 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 72 (or 40 counting only the distinct ones).
The product of its (nonzero) digits is 11340, while the sum is 36.
The square root of 19957014 is about 4467.3273889430. The cubic root of 19957014 is about 271.2471522420.
It can be divided in two parts, 1995 and 7014, that added together give a palindrome (9009).
The spelling of 19957014 in words is "nineteen million, nine hundred fifty-seven thousand, fourteen".
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