Search a number
-
+
19980828 = 22327247241
BaseRepresentation
bin100110000111…
…0001000011100
31101121010112200
41030032020130
520103341303
61552131500
7331556100
oct114161034
941533480
1019980828
111030798a
126836b90
1341a779a
142921900
151b4a3a3
hex130e21c

19980828 has 108 divisors (see below), whose sum is σ = 60252192. Its totient is φ = 5564160.

The previous prime is 19980823. The next prime is 19980869. The reversal of 19980828 is 82808991.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19980823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82788 + ... + 83028.

Almost surely, 219980828 is an apocalyptic number.

19980828 is a gapful number since it is divisible by the number (18) 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 19980828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30126096).

19980828 is an abundant number, since it is smaller than the sum of its proper divisors (40271364).

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

19980828 is a wasteful number, since it uses less digits than its factorization.

19980828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 19980828 is about 4469.9919463015. The cubic root of 19980828 is about 271.3549992392.

The spelling of 19980828 in words is "nineteen million, nine hundred eighty thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 47 49 63 84 94 98 126 141 147 188 196 241 252 282 294 329 423 441 482 564 588 658 723 846 882 964 987 1316 1446 1687 1692 1764 1974 2169 2303 2892 2961 3374 3948 4338 4606 5061 5922 6748 6909 8676 9212 10122 11327 11809 11844 13818 15183 20244 20727 22654 23618 27636 30366 33981 35427 41454 45308 47236 60732 67962 70854 79289 82908 101943 106281 135924 141708 158578 203886 212562 237867 317156 407772 425124 475734 555023 713601 951468 1110046 1427202 1665069 2220092 2854404 3330138 4995207 6660276 9990414 19980828