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196242480 = 24335712979
BaseRepresentation
bin10111011001001…
…10110000110000
3111200021011002000
423230212300300
5400214224410
631250054000
74602014340
oct1354466060
9450234060
10196242480
11a0856975
125587a300
133186cc15
141c0c4d20
1512365dc0
hexbb26c30

196242480 has 160 divisors (see below), whose sum is σ = 772569600. Its totient is φ = 44851968.

The previous prime is 196242479. The next prime is 196242481. The reversal of 196242480 is 84242691.

196242480 is a `hidden beast` number, since 1 + 9 + 624 + 24 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (196242479) and next prime (196242481).

It is a super-2 number, since 2×1962424802 = 77022221913100800, which contains 22 as substring.

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 (196242481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8631 + ... + 21609.

It is an arithmetic number, because the mean of its divisors is an integer number (4828560).

Almost surely, 2196242480 is an apocalyptic number.

196242480 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 196242480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (386284800).

196242480 is an abundant number, since it is smaller than the sum of its proper divisors (576327120).

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

196242480 is a wasteful number, since it uses less digits than its factorization.

196242480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13008 (or 12996 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 196242480 is about 14008.6573232412. The cubic root of 196242480 is about 581.1180179004.

The spelling of 196242480 in words is "one hundred ninety-six million, two hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 12979 15120 25958 38937 51916 64895 77874 90853 103832 116811 129790 155748 181706 194685 207664 233622 259580 272559 311496 350433 363412 389370 454265 467244 519160 545118 584055 622992 700866 726824 778740 817677 908530 934488 1038320 1090236 1168110 1362795 1401732 1453648 1557480 1635354 1752165 1817060 1868976 2180472 2336220 2453031 2725590 2803464 3114960 3270708 3504330 3634120 4088385 4360944 4672440 4906062 5451180 5606928 6541416 7008660 7268240 8176770 9344880 9812124 10902360 12265155 13082832 14017320 16353540 19624248 21804720 24530310 28034640 32707080 39248496 49060620 65414160 98121240 196242480