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19823430 = 23511243127
BaseRepresentation
bin100101110011…
…1101101000110
31101022010122010
41023213231012
520033322210
61544515050
7330332154
oct113475506
941263563
1019823430
111020a700
12677ba86
134150c53
1428c03d4
151b18920
hex12e7b46

19823430 has 96 divisors (see below), whose sum is σ = 53932032. Its totient is φ = 4656960.

The previous prime is 19823429. The next prime is 19823437. The reversal of 19823430 is 3432891.

It is a super-3 number, since 3×198234303 (a number of 23 digits) contains 333 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 not an unprimeable number, because it can be changed into a prime (19823437) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 156027 + ... + 156153.

It is an arithmetic number, because the mean of its divisors is an integer number (561792).

Almost surely, 219823430 is an apocalyptic number.

19823430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 19823430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26966016).

19823430 is an abundant number, since it is smaller than the sum of its proper divisors (34108602).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

19823430 is a wasteful number, since it uses less digits than its factorization.

19823430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 19823430 is about 4452.3510643255. The cubic root of 19823430 is about 270.6405914387.

The spelling of 19823430 in words is "nineteen million, eight hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 43 55 66 86 110 121 127 129 165 215 242 254 258 330 363 381 430 473 605 635 645 726 762 946 1210 1270 1290 1397 1419 1815 1905 2365 2794 2838 3630 3810 4191 4730 5203 5461 6985 7095 8382 10406 10922 13970 14190 15367 15609 16383 20955 26015 27305 30734 31218 32766 41910 46101 52030 54610 60071 76835 78045 81915 92202 120142 153670 156090 163830 180213 230505 300355 360426 461010 600710 660781 901065 1321562 1802130 1982343 3303905 3964686 6607810 9911715 19823430