Search a number
-
+
11372200 = 235278123
BaseRepresentation
bin101011011000…
…011010101000
3210101202201121
4223120122220
510402402300
61043425024
7165443050
oct53303250
923352647
1011372200
116468114
123985174
132482318
141720560
15ee981a
hexad86a8

11372200 has 48 divisors (see below), whose sum is σ = 30221280. Its totient is φ = 3898560.

The previous prime is 11372197. The next prime is 11372213. The reversal of 11372200 is 227311.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2662 + ... + 5461.

It is an arithmetic number, because the mean of its divisors is an integer number (629610).

Almost surely, 211372200 is an apocalyptic number.

11372200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11372200 is an abundant number, since it is smaller than the sum of its proper divisors (18849080).

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

11372200 is a wasteful number, since it uses less digits than its factorization.

11372200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8146 (or 8137 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 11372200 is about 3372.2692656429. The cubic root of 11372200 is about 224.8786176564.

Adding to 11372200 its reverse (227311), we get a palindrome (11599511).

The spelling of 11372200 in words is "eleven million, three hundred seventy-two thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 1400 8123 16246 32492 40615 56861 64984 81230 113722 162460 203075 227444 284305 324920 406150 454888 568610 812300 1137220 1421525 1624600 2274440 2843050 5686100 11372200