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198282840 = 233571371723
BaseRepresentation
bin10111101000110…
…00111001011000
3111211002210220220
423310120321120
5401230022330
631401520040
74625243040
oct1364307130
9454083826
10198282840
11a1a1a918
12564a3020
1332105832
141c496720
151261a710
hexbd18e58

198282840 has 128 divisors (see below), whose sum is σ = 685186560. Its totient is φ = 44964864.

The previous prime is 198282829. The next prime is 198282869. The reversal of 198282840 is 48282891.

198282840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 198282792 and 198282801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 114219 + ... + 115941.

It is an arithmetic number, because the mean of its divisors is an integer number (5353020).

Almost surely, 2198282840 is an apocalyptic number.

198282840 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 198282840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (342593280).

198282840 is an abundant number, since it is smaller than the sum of its proper divisors (486903720).

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

198282840 is a wasteful number, since it uses less digits than its factorization.

198282840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1881 (or 1877 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 198282840 is about 14081.2939746317. The cubic root of 198282840 is about 583.1250659687.

The spelling of 198282840 in words is "one hundred ninety-eight million, two hundred eighty-two thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 137 140 168 210 274 280 411 420 548 685 822 840 959 1096 1370 1644 1723 1918 2055 2740 2877 3288 3446 3836 4110 4795 5169 5480 5754 6892 7672 8220 8615 9590 10338 11508 12061 13784 14385 16440 17230 19180 20676 23016 24122 25845 28770 34460 36183 38360 41352 48244 51690 57540 60305 68920 72366 96488 103380 115080 120610 144732 180915 206760 236051 241220 289464 361830 472102 482440 708153 723660 944204 1180255 1416306 1447320 1652357 1888408 2360510 2832612 3304714 3540765 4721020 4957071 5665224 6609428 7081530 8261785 9442040 9914142 13218856 14163060 16523570 19828284 24785355 28326120 33047140 39656568 49570710 66094280 99141420 198282840