Base | Representation |
---|---|
bin | 100110000000… |
… | …1110111000000 |
3 | 1101111120120220 |
4 | 1030001313000 |
5 | 20100234220 |
6 | 1551103040 |
7 | 331256406 |
oct | 114016700 |
9 | 41446526 |
10 | 19930560 |
11 | 10283141 |
12 | 6811a80 |
13 | 418a940 |
14 | 290b476 |
15 | 1b3a540 |
hex | 1301dc0 |
19930560 has 112 divisors (see below), whose sum is σ = 68189856. Its totient is φ = 4902912.
The previous prime is 19930549. The next prime is 19930567. The reversal of 19930560 is 6503991.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (19930567) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11682 + ... + 13278.
It is an arithmetic number, because the mean of its divisors is an integer number (608838).
Almost surely, 219930560 is an apocalyptic number.
19930560 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 19930560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34094928).
19930560 is an abundant number, since it is smaller than the sum of its proper divisors (48259296).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
19930560 is a wasteful number, since it uses less digits than its factorization.
19930560 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1630 (or 1620 counting only the distinct ones).
The product of its (nonzero) digits is 7290, while the sum is 33.
The square root of 19930560 is about 4464.3655764285. The cubic root of 19930560 is about 271.1272487831.
The spelling of 19930560 in words is "nineteen million, nine hundred thirty thousand, five hundred sixty".
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