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198915960 = 23352397743
BaseRepresentation
bin10111101101100…
…11011101111000
3111212021222101210
423312303131320
5401410302320
631423243120
74633520625
oct1366633570
9455258353
10198915960
11a2312561
12567494a0
1332297a69
141c5bd34c
15126e30e0
hexbdb3778

198915960 has 128 divisors (see below), whose sum is σ = 629959680. Its totient is φ = 50147328.

The previous prime is 198915947. The next prime is 198915961. The reversal of 198915960 is 69519891.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (198915961) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 267349 + ... + 268091.

It is an arithmetic number, because the mean of its divisors is an integer number (4921560).

Almost surely, 2198915960 is an apocalyptic number.

198915960 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 198915960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314979840).

198915960 is an abundant number, since it is smaller than the sum of its proper divisors (431043720).

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

198915960 is a wasteful number, since it uses less digits than its factorization.

198915960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 48.

The square root of 198915960 is about 14103.7569462892. The cubic root of 198915960 is about 583.7450488448.

The spelling of 198915960 in words is "one hundred ninety-eight million, nine hundred fifteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 97 115 120 138 184 194 230 276 291 345 388 460 485 552 582 690 743 776 920 970 1164 1380 1455 1486 1940 2229 2231 2328 2760 2910 2972 3715 3880 4458 4462 5820 5944 6693 7430 8916 8924 11145 11155 11640 13386 14860 17089 17832 17848 22290 22310 26772 29720 33465 34178 44580 44620 51267 53544 66930 68356 72071 85445 89160 89240 102534 133860 136712 144142 170890 205068 216213 256335 267720 288284 341780 360355 410136 432426 512670 576568 683560 720710 864852 1025340 1081065 1441420 1657633 1729704 2050680 2162130 2882840 3315266 4324260 4972899 6630532 8288165 8648520 9945798 13261064 16576330 19891596 24864495 33152660 39783192 49728990 66305320 99457980 198915960