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198980160 = 26351910909
BaseRepresentation
bin10111101110000…
…11001001000000
3111212102020110120
423313003021000
5401414331120
631424500240
74634206041
oct1367031100
9455366416
10198980160
11a2356815
125677a680
13322bb052
141c5d88c8
1512707140
hexbdc3240

198980160 has 112 divisors (see below), whose sum is σ = 665073600. Its totient is φ = 50264064.

The previous prime is 198980149. The next prime is 198980183. The reversal of 198980160 is 61089891.

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, 12786 + ... + 23694.

Almost surely, 2198980160 is an apocalyptic number.

198980160 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 198980160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332536800).

198980160 is an abundant number, since it is smaller than the sum of its proper divisors (466093440).

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

198980160 is a wasteful number, since it uses less digits than its factorization.

198980160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10948 (or 10938 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 198980160 is about 14106.0327519824. The cubic root of 198980160 is about 583.8078432045.

The spelling of 198980160 in words is "one hundred ninety-eight million, nine hundred eighty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 64 76 80 95 96 114 120 152 160 190 192 228 240 285 304 320 380 456 480 570 608 760 912 960 1140 1216 1520 1824 2280 3040 3648 4560 6080 9120 10909 18240 21818 32727 43636 54545 65454 87272 109090 130908 163635 174544 207271 218180 261816 327270 349088 414542 436360 523632 621813 654540 698176 829084 872720 1036355 1047264 1243626 1309080 1658168 1745440 2072710 2094528 2487252 2618160 3109065 3316336 3490880 4145420 4974504 5236320 6218130 6632672 8290840 9949008 10472640 12436260 13265344 16581680 19898016 24872520 33163360 39796032 49745040 66326720 99490080 198980160