Search a number
-
+
200592 = 24327199
BaseRepresentation
bin110000111110010000
3101012011100
4300332100
522404332
64144400
71463550
oct607620
9335140
10200592
11127787
1298100
13703c2
1453160
153e67c
hex30f90

200592 has 60 divisors (see below), whose sum is σ = 644800. Its totient is φ = 57024.

The previous prime is 200591. The next prime is 200597. The reversal of 200592 is 295002.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

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 200592.

It is not an unprimeable number, because it can be changed into a prime (200591) 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, 909 + ... + 1107.

2200592 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322400).

200592 is an abundant number, since it is smaller than the sum of its proper divisors (444208).

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

200592 is a wasteful number, since it uses less digits than its factorization.

200592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 200592 is about 447.8749825565. The cubic root of 200592 is about 58.5379985431.

Adding to 200592 its reverse (295002), we get a palindrome (495594).

The spelling of 200592 in words is "two hundred thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 199 252 336 398 504 597 796 1008 1194 1393 1592 1791 2388 2786 3184 3582 4179 4776 5572 7164 8358 9552 11144 12537 14328 16716 22288 25074 28656 33432 50148 66864 100296 200592