| Base | Representation |
|---|---|
| bin | 100101101110… |
| … | …1001011100000 |
| 3 | 1101012221111110 |
| 4 | 1023131023200 |
| 5 | 20030432240 |
| 6 | 1543543320 |
| 7 | 330062400 |
| oct | 113351340 |
| 9 | 41187443 |
| 10 | 19780320 |
| 11 | 1019027a |
| 12 | 675ab40 |
| 13 | 4137441 |
| 14 | 28ac800 |
| 15 | 1b0ac80 |
| hex | 12dd2e0 |
19780320 has 216 divisors, whose sum is σ = 75066264. Its totient is φ = 4365312.
The previous prime is 19780307. The next prime is 19780351. The reversal of 19780320 is 2308791.
It is a happy number.
It is a super-2 number, since 2×197803202 = 782522118604800, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a congruent number.
It is an unprimeable number.
It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 682066 + ... + 682094.
It is an arithmetic number, because the mean of its divisors is an integer number (347529).
Almost surely, 219780320 is an apocalyptic number.
19780320 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 19780320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37533132).
19780320 is an abundant number, since it is smaller than the sum of its proper divisors (55285944).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19780320 is a wasteful number, since it uses less digits than its factorization.
19780320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 90 (or 46 counting only the distinct ones).
The product of its (nonzero) digits is 3024, while the sum is 30.
The square root of 19780320 is about 4447.5071669419. The cubic root of 19780320 is about 270.4442617459. Note that the first 3 decimals are identical.
Multiplying 19780320 by its sum of digits (30), we get a square (593409600 = 243602).
19780320 divided by its sum of digits (30) gives a square (659344 = 8122).
It can be divided in two parts, 19780 and 320, that added together give a triangular number (20100 = T200).
The spelling of 19780320 in words is "nineteen million, seven hundred eighty thousand, three hundred twenty".
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