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198614640 = 24357216889
BaseRepresentation
bin10111101011010…
…01111001110000
3111211201200001210
423311221321300
5401321132030
631413000120
74631124300
oct1365517160
9454650053
10198614640
11a2127134
1256623040
13321c0873
141c541600
1512683bb0
hexbd69e70

198614640 has 120 divisors (see below), whose sum is σ = 716271120. Its totient is φ = 45394944.

The previous prime is 198614639. The next prime is 198614651. The reversal of 198614640 is 46416891.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3316 + ... + 20204.

It is an arithmetic number, because the mean of its divisors is an integer number (5968926).

Almost surely, 2198614640 is an apocalyptic number.

198614640 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 198614640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358135560).

198614640 is an abundant number, since it is smaller than the sum of its proper divisors (517656480).

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

198614640 is a wasteful number, since it uses less digits than its factorization.

198614640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16919 (or 16906 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 198614640 is about 14093.0706377283. The cubic root of 198614640 is about 583.4501454958.

The spelling of 198614640 in words is "one hundred ninety-eight million, six hundred fourteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 49 56 60 70 80 84 98 105 112 120 140 147 168 196 210 240 245 280 294 336 392 420 490 560 588 735 784 840 980 1176 1470 1680 1960 2352 2940 3920 5880 11760 16889 33778 50667 67556 84445 101334 118223 135112 168890 202668 236446 253335 270224 337780 354669 405336 472892 506670 591115 675560 709338 810672 827561 945784 1013340 1182230 1351120 1418676 1655122 1773345 1891568 2026680 2364460 2482683 2837352 3310244 3546690 4053360 4137805 4728920 4965366 5674704 6620488 7093380 8275610 9457840 9930732 12413415 13240976 14186760 16551220 19861464 24826830 28373520 33102440 39722928 49653660 66204880 99307320 198614640