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198702 = 23271983
BaseRepresentation
bin110000100000101110
3101002120100
4300200232
522324302
64131530
71455210
oct604056
9332510
10198702
11126319
1296ba6
136c59a
14525b0
153dd1c
hex3082e

198702 has 48 divisors (see below), whose sum is σ = 524160. Its totient is φ = 53136.

The previous prime is 198701. The next prime is 198719. The reversal of 198702 is 207891.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 198702.

It is not an unprimeable number, because it can be changed into a prime (198701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2353 + ... + 2435.

It is an arithmetic number, because the mean of its divisors is an integer number (10920).

2198702 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 198702, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262080).

198702 is an abundant number, since it is smaller than the sum of its proper divisors (325458).

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

198702 is a wasteful number, since it uses less digits than its factorization.

198702 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 27.

The square root of 198702 is about 445.7600251256. The cubic root of 198702 is about 58.3535675837.

It can be divided in two parts, 198 and 702, that added together give a square (900 = 302).

The spelling of 198702 in words is "one hundred ninety-eight thousand, seven hundred two".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 83 114 126 133 166 171 249 266 342 399 498 581 747 798 1162 1197 1494 1577 1743 2394 3154 3486 4731 5229 9462 10458 11039 14193 22078 28386 33117 66234 99351 198702