Base | Representation |
---|---|
bin | 100101110001… |
… | …0011101010000 |
3 | 1101021001011001 |
4 | 1023202131100 |
5 | 20032130221 |
6 | 1544231344 |
7 | 330212410 |
oct | 113423520 |
9 | 41231131 |
10 | 19801936 |
11 | 101a5540 |
12 | 676b554 |
13 | 414422b |
14 | 28b6640 |
15 | 1b12391 |
hex | 12e2750 |
19801936 has 40 divisors (see below), whose sum is σ = 47836224. Its totient is φ = 7714560.
The previous prime is 19801931. The next prime is 19801937. The reversal of 19801936 is 63910891.
It is a junction number, because it is equal to n+sod(n) for n = 19801895 and 19801904.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19801931) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6805 + ... + 9268.
Almost surely, 219801936 is an apocalyptic number.
19801936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.
It is an amenable number.
19801936 is an abundant number, since it is smaller than the sum of its proper divisors (28034288).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19801936 is a wasteful number, since it uses less digits than its factorization.
19801936 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16099 (or 16093 counting only the distinct ones).
The product of its (nonzero) digits is 11664, while the sum is 37.
The square root of 19801936 is about 4449.9366287623. The cubic root of 19801936 is about 270.5427400141.
It can be divided in two parts, 1980 and 1936, that added together give a triangular number (3916 = T88).
The spelling of 19801936 in words is "nineteen million, eight hundred one thousand, nine hundred thirty-six".
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