Base | Representation |
---|---|
bin | 100101010111… |
… | …0110000000000 |
3 | 1100212021121220 |
4 | 1022232300000 |
5 | 20003341034 |
6 | 1535515040 |
7 | 325341060 |
oct | 112566000 |
9 | 40767556 |
10 | 19590144 |
11 | 10070402 |
12 | 6688a80 |
13 | 409ba02 |
14 | 285d3a0 |
15 | 1abe749 |
hex | 12aec00 |
19590144 has 88 divisors (see below), whose sum is σ = 59739648. Its totient is φ = 5591040.
The previous prime is 19590119. The next prime is 19590149. The reversal of 19590144 is 44109591.
It is not an unprimeable number, because it can be changed into a prime (19590149) by changing a digit.
It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21049 + ... + 21959.
Almost surely, 219590144 is an apocalyptic number.
19590144 is a gapful number since it is divisible by the number (14) 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 19590144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29869824).
19590144 is an abundant number, since it is smaller than the sum of its proper divisors (40149504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19590144 is an equidigital number, since it uses as much as digits as its factorization.
19590144 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 941 (or 923 counting only the distinct ones).
The product of its (nonzero) digits is 6480, while the sum is 33.
The square root of 19590144 is about 4426.0754625289. The cubic root of 19590144 is about 269.5747489610.
The spelling of 19590144 in words is "nineteen million, five hundred ninety thousand, one hundred forty-four".
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