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11412200 = 2352431327
BaseRepresentation
bin101011100010…
…001011101000
3210110210121002
4223202023220
510410142300
61044334132
7166000502
oct53421350
923423532
1011412200
116495178
1239a4348
1324975a7
141730d72
1510065d5
hexae22e8

11412200 has 48 divisors (see below), whose sum is σ = 27170880. Its totient is φ = 4455360.

The previous prime is 11412199. The next prime is 11412223. The reversal of 11412200 is 221411.

It is a congruent 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, 7937 + ... + 9263.

It is an arithmetic number, because the mean of its divisors is an integer number (566060).

Almost surely, 211412200 is an apocalyptic number.

11412200 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 11412200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13585440).

11412200 is an abundant number, since it is smaller than the sum of its proper divisors (15758680).

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

11412200 is a wasteful number, since it uses less digits than its factorization.

11412200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1386 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

The square root of 11412200 is about 3378.1947842006. The cubic root of 11412200 is about 225.1419680169.

Adding to 11412200 its reverse (221411), we get a palindrome (11633611).

The spelling of 11412200 in words is "eleven million, four hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 172 200 215 344 430 860 1075 1327 1720 2150 2654 4300 5308 6635 8600 10616 13270 26540 33175 53080 57061 66350 114122 132700 228244 265400 285305 456488 570610 1141220 1426525 2282440 2853050 5706100 11412200