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198857360 = 245131071787
BaseRepresentation
bin10111101101001…
…01001010010000
3111212012000000102
423312211022100
5401401413420
631422111532
74633155032
oct1366451220
9455160012
10198857360
11a2282529
125671b5a8
13322771a0
141c5a5c52
15126d0a75
hexbda5290

198857360 has 80 divisors (see below), whose sum is σ = 502842816. Its totient is φ = 72697344.

The previous prime is 198857359. The next prime is 198857371. The reversal of 198857360 is 63758891.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110387 + ... + 112173.

Almost surely, 2198857360 is an apocalyptic number.

198857360 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 198857360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251421408).

198857360 is an abundant number, since it is smaller than the sum of its proper divisors (303985456).

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

198857360 is a wasteful number, since it uses less digits than its factorization.

198857360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1920 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 47.

The square root of 198857360 is about 14101.6793326185. The cubic root of 198857360 is about 583.6877200788.

The spelling of 198857360 in words is "one hundred ninety-eight million, eight hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 107 130 208 214 260 428 520 535 856 1040 1070 1391 1712 1787 2140 2782 3574 4280 5564 6955 7148 8560 8935 11128 13910 14296 17870 22256 23231 27820 28592 35740 46462 55640 71480 92924 111280 116155 142960 185848 191209 232310 371696 382418 464620 764836 929240 956045 1529672 1858480 1912090 2485717 3059344 3824180 4971434 7648360 9942868 12428585 15296720 19885736 24857170 39771472 49714340 99428680 198857360