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199102680 = 233257211287
BaseRepresentation
bin10111101111000…
…01000011011000
3111212122110112100
423313201003120
5401432241210
631431243400
74635226200
oct1367410330
9455573470
10199102680
11a242a877
1256819560
1332331a4a
141c62b400
151272d5c0
hexbde10d8

199102680 has 144 divisors (see below), whose sum is σ = 752796720. Its totient is φ = 45505152.

The previous prime is 199102663. The next prime is 199102681. The reversal of 199102680 is 86201991.

199102680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199102681) 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, 11997 + ... + 23283.

It is an arithmetic number, because the mean of its divisors is an integer number (5227755).

Almost surely, 2199102680 is an apocalyptic number.

199102680 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 199102680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376398360).

199102680 is an abundant number, since it is smaller than the sum of its proper divisors (553694040).

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

199102680 is a wasteful number, since it uses less digits than its factorization.

199102680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11318 (or 11304 counting only the distinct ones).

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

The square root of 199102680 is about 14110.3749064297. The cubic root of 199102680 is about 583.9276431903.

The spelling of 199102680 in words is "one hundred ninety-nine million, one hundred two thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 18 20 21 24 28 30 35 36 40 42 45 49 56 60 63 70 72 84 90 98 105 120 126 140 147 168 180 196 210 245 252 280 294 315 360 392 420 441 490 504 588 630 735 840 882 980 1176 1260 1470 1764 1960 2205 2520 2940 3528 4410 5880 8820 11287 17640 22574 33861 45148 56435 67722 79009 90296 101583 112870 135444 158018 169305 203166 225740 237027 270888 316036 338610 395045 406332 451480 474054 507915 553063 632072 677220 711081 790090 812664 948108 1015830 1106126 1185135 1354440 1422162 1580180 1659189 1896216 2031660 2212252 2370270 2765315 2844324 3160360 3318378 3555405 4063320 4424504 4740540 4977567 5530630 5688648 6636756 7110810 8295945 9481080 9955134 11061260 13273512 14221620 16591890 19910268 22122520 24887835 28443240 33183780 39820536 49775670 66367560 99551340 199102680