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16219980 = 2233572613
BaseRepresentation
bin111101110111…
…111101001100
31010112001122000
4331313331030
513123014410
61335352300
7254603400
oct75677514
933461560
1016219980
119179347
125522690
13348ba2a
142223100
151655dc0
hexf77f4c

16219980 has 144 divisors (see below), whose sum is σ = 58796640. Its totient is φ = 3701376.

The previous prime is 16219933. The next prime is 16219981. The reversal of 16219980 is 8991261.

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

It is not an unprimeable number, because it can be changed into a prime (16219981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26154 + ... + 26766.

It is an arithmetic number, because the mean of its divisors is an integer number (408310).

Almost surely, 216219980 is an apocalyptic number.

16219980 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 16219980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29398320).

16219980 is an abundant number, since it is smaller than the sum of its proper divisors (42576660).

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

16219980 is a wasteful number, since it uses less digits than its factorization.

16219980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 645 (or 630 counting only the distinct ones).

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

The square root of 16219980 is about 4027.4036301319. The cubic root of 16219980 is about 253.1337802167.

The spelling of 16219980 in words is "sixteen million, two hundred nineteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 49 54 60 63 70 84 90 98 105 108 126 135 140 147 180 189 196 210 245 252 270 294 315 378 420 441 490 540 588 613 630 735 756 882 945 980 1226 1260 1323 1470 1764 1839 1890 2205 2452 2646 2940 3065 3678 3780 4291 4410 5292 5517 6130 6615 7356 8582 8820 9195 11034 12260 12873 13230 16551 17164 18390 21455 22068 25746 26460 27585 30037 33102 36780 38619 42910 51492 55170 60074 64365 66204 77238 82755 85820 90111 110340 115857 120148 128730 150185 154476 165510 180222 193095 231714 257460 270333 300370 331020 360444 386190 450555 463428 540666 579285 600740 772380 810999 901110 1081332 1158570 1351665 1621998 1802220 2317140 2703330 3243996 4054995 5406660 8109990 16219980