Search a number
-
+
110200 = 23521929
BaseRepresentation
bin11010111001111000
312121011111
4122321320
512011300
62210104
7636166
oct327170
9177144
10110200
1175882
1253934
133b20c
142c236
15229ba
hex1ae78

110200 has 48 divisors (see below), whose sum is σ = 279000. Its totient is φ = 40320.

The previous prime is 110183. The next prime is 110221. The reversal of 110200 is 2011.

110200 = 542 + 552 + ... + 782.

It is a Harshad number since it is a multiple of its sum of digits (4).

It is a self number, because there is not a number n which added to its sum of digits gives 110200.

It is a congruent number.

It is an unprimeable number.

110200 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3786 + ... + 3814.

2110200 is an apocalyptic number.

110200 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 110200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139500).

110200 is an abundant number, since it is smaller than the sum of its proper divisors (168800).

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

110200 is a wasteful number, since it uses less digits than its factorization.

110200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 4.

The square root of 110200 is about 331.9638534540. The cubic root of 110200 is about 47.9432198973.

Adding to 110200 its reverse (2011), we get a palindrome (112211).

It can be divided in two parts, 1 and 10200, that added together give a palindrome (10201).

The spelling of 110200 in words is "one hundred ten thousand, two hundred", and thus it is an iban number.

Divisors: 1 2 4 5 8 10 19 20 25 29 38 40 50 58 76 95 100 116 145 152 190 200 232 290 380 475 551 580 725 760 950 1102 1160 1450 1900 2204 2755 2900 3800 4408 5510 5800 11020 13775 22040 27550 55100 110200