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199926 = 23229383
BaseRepresentation
bin110000110011110110
3101011020200
4300303312
522344201
64141330
71461606
oct606366
9334220
10199926
11127231
1297846
136cccc
1452c06
153e386
hex30cf6

199926 has 24 divisors (see below), whose sum is σ = 449280. Its totient is φ = 64176.

The previous prime is 199921. The next prime is 199931. The reversal of 199926 is 629991.

It is an interprime number because it is at equal distance from previous prime (199921) and next prime (199931).

It is a nude number because it is divisible by every one of its digits.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 331 + ... + 713.

It is an arithmetic number, because the mean of its divisors is an integer number (18720).

2199926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224640).

199926 is an abundant number, since it is smaller than the sum of its proper divisors (249354).

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

199926 is a wasteful number, since it uses less digits than its factorization.

199926 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 417 counting only the distinct ones).

The product of its digits is 8748, while the sum is 36.

The square root of 199926 is about 447.1308533304. The cubic root of 199926 is about 58.4731412974.

It can be divided in two parts, 1999 and 26, that added together give a square (2025 = 452).

The spelling of 199926 in words is "one hundred ninety-nine thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 383 522 766 1149 2298 3447 6894 11107 22214 33321 66642 99963 199926