| Base | Representation |
|---|---|
| bin | 100100011101… |
| … | …0010010100000 |
| 3 | 1022222001021100 |
| 4 | 1020322102200 |
| 5 | 14343104440 |
| 6 | 1521354400 |
| 7 | 321313245 |
| oct | 110722240 |
| 9 | 38861240 |
| 10 | 19113120 |
| 11 | a874a74 |
| 12 | 6498a00 |
| 13 | 3c62850 |
| 14 | 27775cc |
| 15 | 1a28230 |
| hex | 123a4a0 |
19113120 has 144 divisors (see below), whose sum is σ = 70309512. Its totient is φ = 4700160.
The previous prime is 19113097. The next prime is 19113121. The reversal of 19113120 is 2131191.
It can be written as a sum of positive squares in 4 ways, for example, as 12702096 + 6411024 = 3564^2 + 2532^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a super-2 number, since 2×191131202 = 730622712268800, which contains 22 as substring.
It is a hoax number, since the sum of its digits (18) 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 (18).
It is a junction number, because it is equal to n+sod(n) for n = 19113093 and 19113102.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19113121) by changing a digit.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18210 + ... + 19230.
Almost surely, 219113120 is an apocalyptic number.
19113120 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 19113120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35154756).
19113120 is an abundant number, since it is smaller than the sum of its proper divisors (51196392).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19113120 is a wasteful number, since it uses less digits than its factorization.
19113120 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1055 (or 1044 counting only the distinct ones).
The product of its (nonzero) digits is 54, while the sum is 18.
The square root of 19113120 is about 4371.8554413430. The cubic root of 19113120 is about 267.3686780810.
The spelling of 19113120 in words is "nineteen million, one hundred thirteen thousand, one hundred twenty".
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