Base | Representation |
---|---|
bin | 100100100010… |
… | …1101101110000 |
3 | 1100001102110200 |
4 | 1021011231300 |
5 | 14401104140 |
6 | 1522355200 |
7 | 321566553 |
oct | 111055560 |
9 | 40042420 |
10 | 19159920 |
11 | a8a714a |
12 | 64bbb00 |
13 | 3c7ac40 |
14 | 278a69a |
15 | 1a37030 |
hex | 1245b70 |
19159920 has 240 divisors, whose sum is σ = 73120320. Its totient is φ = 4460544.
The previous prime is 19159909. The next prime is 19159927. The reversal of 19159920 is 2995191.
19159920 = T321 + T322 + ... + T528.
It is a tau number, because it is divible by the number of its divisors (240).
It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19159927) 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 47 ways as a sum of consecutive naturals, for example, 215236 + ... + 215324.
It is an arithmetic number, because the mean of its divisors is an integer number (304668).
Almost surely, 219159920 is an apocalyptic number.
19159920 is a gapful number since it is divisible by the number (10) 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 19159920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36560160).
19159920 is an abundant number, since it is smaller than the sum of its proper divisors (53960400).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19159920 is a wasteful number, since it uses less digits than its factorization.
19159920 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 144 (or 135 counting only the distinct ones).
The product of its (nonzero) digits is 7290, while the sum is 36.
The square root of 19159920 is about 4377.2045874051. The cubic root of 19159920 is about 267.5867247264.
The spelling of 19159920 in words is "nineteen million, one hundred fifty-nine thousand, nine hundred twenty".
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