Base | Representation |
---|---|
bin | 100101111100… |
… | …0010110010000 |
3 | 1101102121010221 |
4 | 1023320112100 |
5 | 20043012400 |
6 | 1550202424 |
7 | 331035001 |
oct | 113702620 |
9 | 41377127 |
10 | 19891600 |
11 | 10256943 |
12 | 67b3414 |
13 | 4175ca1 |
14 | 28db1a8 |
15 | 1b2dc1a |
hex | 12f8590 |
19891600 has 45 divisors (see below), whose sum is σ = 48004833. Its totient is φ = 7920960.
The previous prime is 19891579. The next prime is 19891631. The reversal of 19891600 is 619891.
The square root of 19891600 is 4460.
It is a perfect power (a square), and thus also a powerful number.
It can be written as a sum of positive squares in only one way, i.e., 7160976 + 12730624 = 2676^2 + 3568^2 .
It is a Duffinian number.
It is an unprimeable number.
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 8 ways as a sum of consecutive naturals, for example, 89089 + ... + 89311.
Almost surely, 219891600 is an apocalyptic number.
19891600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
19891600 is the 4460-th square number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 19891600
19891600 is an abundant number, since it is smaller than the sum of its proper divisors (28113233).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19891600 is an equidigital number, since it uses as much as digits as its factorization.
19891600 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 464 (or 230 counting only the distinct ones).
The product of its (nonzero) digits is 3888, while the sum is 34.
The cubic root of 19891600 is about 270.9504682013.
The spelling of 19891600 in words is "nineteen million, eight hundred ninety-one thousand, six hundred".
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