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11081400 = 23352112373
BaseRepresentation
bin101010010001…
…011010111000
3202211222211020
4222101122320
510314101100
61033302440
7163122201
oct52213270
922758736
1011081400
116289690
123864a20
1323acb55
1416865a8
15e8d5a0
hexa916b8

11081400 has 192 divisors, whose sum is σ = 39640320. Its totient is φ = 2534400.

The previous prime is 11081387. The next prime is 11081407. The reversal of 11081400 is 418011.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11081400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11081407) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 151764 + ... + 151836.

It is an arithmetic number, because the mean of its divisors is an integer number (206460).

Almost surely, 211081400 is an apocalyptic number.

11081400 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 11081400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19820160).

11081400 is an abundant number, since it is smaller than the sum of its proper divisors (28558920).

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

11081400 is a wasteful number, since it uses less digits than its factorization.

11081400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11081400 is about 3328.8736833950. The cubic root of 11081400 is about 222.9452431800.

Adding to 11081400 its reverse (418011), we get a palindrome (11499411).

The spelling of 11081400 in words is "eleven million, eighty-one thousand, four hundred".