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198102320 = 24513239797
BaseRepresentation
bin10111100111011…
…00110100110000
3111210202122021222
423303230310300
5401203233240
631354004212
74623561533
oct1363546460
9453678258
10198102320
11a1907229
1256416668
1332071610
141c44aa1a
15125d1eb5
hexbcecd30

198102320 has 80 divisors (see below), whose sum is σ = 498718080. Its totient is φ = 72748032.

The previous prime is 198102301. The next prime is 198102323. The reversal of 198102320 is 23201891.

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 (26).

It is a self number, because there is not a number n which added to its sum of digits gives 198102320.

It is not an unprimeable number, because it can be changed into a prime (198102323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248162 + ... + 248958.

It is an arithmetic number, because the mean of its divisors is an integer number (6233976).

Almost surely, 2198102320 is an apocalyptic number.

198102320 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 198102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249359040).

198102320 is an abundant number, since it is smaller than the sum of its proper divisors (300615760).

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

198102320 is a wasteful number, since it uses less digits than its factorization.

198102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1062 (or 1056 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 198102320 is about 14074.8825927608. The cubic root of 198102320 is about 582.9480499810.

The spelling of 198102320 in words is "one hundred ninety-eight million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 239 260 478 520 797 956 1040 1195 1594 1912 2390 3107 3188 3824 3985 4780 6214 6376 7970 9560 10361 12428 12752 15535 15940 19120 20722 24856 31070 31880 41444 49712 51805 62140 63760 82888 103610 124280 165776 190483 207220 248560 380966 414440 761932 828880 952415 1523864 1904830 2476279 3047728 3809660 4952558 7619320 9905116 12381395 15238640 19810232 24762790 39620464 49525580 99051160 198102320