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11423200 = 2552109131
BaseRepresentation
bin101011100100…
…110111100000
3210111100200111
4223210313200
510411020300
61044501104
7166044535
oct53446740
923440614
1011423200
1164a2468
1239aa794
13249c5b9
141734d8c
1510099ba
hexae4de0

11423200 has 72 divisors (see below), whose sum is σ = 28357560. Its totient is φ = 4492800.

The previous prime is 11423189. The next prime is 11423227. The reversal of 11423200 is 232411.

11423200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87135 + ... + 87265.

It is an arithmetic number, because the mean of its divisors is an integer number (393855).

Almost surely, 211423200 is an apocalyptic number.

11423200 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 11423200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14178780).

11423200 is an abundant number, since it is smaller than the sum of its proper divisors (16934360).

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

11423200 is a wasteful number, since it uses less digits than its factorization.

11423200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 11423200 is about 3379.8224805454. The cubic root of 11423200 is about 225.2142814584.

Adding to 11423200 its reverse (232411), we get a palindrome (11655611).

The spelling of 11423200 in words is "eleven million, four hundred twenty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 109 131 160 200 218 262 400 436 524 545 655 800 872 1048 1090 1310 1744 2096 2180 2620 2725 3275 3488 4192 4360 5240 5450 6550 8720 10480 10900 13100 14279 17440 20960 21800 26200 28558 43600 52400 57116 71395 87200 104800 114232 142790 228464 285580 356975 456928 571160 713950 1142320 1427900 2284640 2855800 5711600 11423200