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19216980 = 22335191873
BaseRepresentation
bin100100101001…
…1101001010100
31100011022202000
41021103221110
514404420410
61523515300
7322225116
oct111235124
940138660
1019216980
11a936002
126528b30
133c9abc3
1427a33b6
151a48dc0
hex1253a54

19216980 has 96 divisors (see below), whose sum is σ = 62966400. Its totient is φ = 4852224.

The previous prime is 19216979. The next prime is 19217017. The reversal of 19216980 is 8961291.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9324 + ... + 11196.

It is an arithmetic number, because the mean of its divisors is an integer number (655900).

Almost surely, 219216980 is an apocalyptic number.

19216980 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 19216980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31483200).

19216980 is an abundant number, since it is smaller than the sum of its proper divisors (43749420).

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

19216980 is a wasteful number, since it uses less digits than its factorization.

19216980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 19216980 is about 4383.7176003935. The cubic root of 19216980 is about 267.8520940763.

The spelling of 19216980 in words is "nineteen million, two hundred sixteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 1873 2052 2565 3420 3746 5130 5619 7492 9365 10260 11238 16857 18730 22476 28095 33714 35587 37460 50571 56190 67428 71174 84285 101142 106761 112380 142348 168570 177935 202284 213522 252855 320283 337140 355870 427044 505710 533805 640566 711740 960849 1011420 1067610 1281132 1601415 1921698 2135220 3202830 3843396 4804245 6405660 9608490 19216980