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11040300 = 2234522947
BaseRepresentation
bin101010000111…
…011000101100
3202202220110000
4222013120230
510311242200
61032344300
7162561315
oct52073054
922686400
1011040300
116260817
123845090
13239722b
14167560c
15e81300
hexa8762c

11040300 has 180 divisors, whose sum is σ = 37810080. Its totient is φ = 2782080.

The previous prime is 11040241. The next prime is 11040313. The reversal of 11040300 is 304011.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (9).

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 59 ways as a sum of consecutive naturals, for example, 234877 + ... + 234923.

It is an arithmetic number, because the mean of its divisors is an integer number (210056).

Almost surely, 211040300 is an apocalyptic number.

11040300 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 11040300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18905040).

11040300 is an abundant number, since it is smaller than the sum of its proper divisors (26769780).

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

11040300 is a wasteful number, since it uses less digits than its factorization.

11040300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 11040300 is about 3322.6946895555. The cubic root of 11040300 is about 222.6692731995.

Adding to 11040300 its reverse (304011), we get a palindrome (11344311).

The spelling of 11040300 in words is "eleven million, forty thousand, three hundred".