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199088 = 2423541
BaseRepresentation
bin110000100110110000
3101010002122
4300212300
522332323
64133412
71456301
oct604660
9333078
10199088
1112663a
1297268
136c806
14527a8
153dec8
hex309b0

199088 has 20 divisors (see below), whose sum is σ = 403248. Its totient is φ = 95040.

The previous prime is 199081. The next prime is 199103. The reversal of 199088 is 880991.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (199081) 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 3 ways as a sum of consecutive naturals, for example, 98 + ... + 638.

2199088 is an apocalyptic number.

199088 is the 239-th centered heptagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201624).

199088 is an abundant number, since it is smaller than the sum of its proper divisors (204160).

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

199088 is a wasteful number, since it uses less digits than its factorization.

199088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 35.

The square root of 199088 is about 446.1927834468. The cubic root of 199088 is about 58.3913291687.

The spelling of 199088 in words is "one hundred ninety-nine thousand, eighty-eight".

Divisors: 1 2 4 8 16 23 46 92 184 368 541 1082 2164 4328 8656 12443 24886 49772 99544 199088