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198487920 = 24351748649
BaseRepresentation
bin10111101010010…
…10111101110000
3111211111020020110
423311022331300
5401303103140
631410141320
74630055661
oct1365127560
9454436213
10198487920
11a204aa04
1256581840
1332177c97
141c50b368
151265b380
hexbd4af70

198487920 has 80 divisors (see below), whose sum is σ = 651520800. Its totient is φ = 49815552.

The previous prime is 198487897. The next prime is 198487931. The reversal of 198487920 is 29784891.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 198487920.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20245 + ... + 28404.

It is an arithmetic number, because the mean of its divisors is an integer number (8144010).

Almost surely, 2198487920 is an apocalyptic number.

198487920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

198487920 is an abundant number, since it is smaller than the sum of its proper divisors (453032880).

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

198487920 is a wasteful number, since it uses less digits than its factorization.

198487920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48682 (or 48676 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 48.

The square root of 198487920 is about 14088.5740939245. The cubic root of 198487920 is about 583.3260349200.

The spelling of 198487920 in words is "one hundred ninety-eight million, four hundred eighty-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 4080 48649 97298 145947 194596 243245 291894 389192 486490 583788 729735 778384 827033 972980 1167576 1459470 1654066 1945960 2335152 2481099 2918940 3308132 3891920 4135165 4962198 5837880 6616264 8270330 9924396 11675760 12405495 13232528 16540660 19848792 24810990 33081320 39697584 49621980 66162640 99243960 198487920