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11041300 = 2252412693
BaseRepresentation
bin101010000111…
…101000010100
3202202221211001
4222013220110
510311310200
61032353044
7162564244
oct52075024
922687731
1011041300
116261546
123845784
13239781a
141675b24
15e8176a
hexa87a14

11041300 has 36 divisors (see below), whose sum is σ = 24553116. Its totient is φ = 4307200.

The previous prime is 11041297. The next prime is 11041307. The reversal of 11041300 is 314011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2256004 + 8785296 = 1502^2 + 2964^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11041307) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2754 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (682031).

Almost surely, 211041300 is an apocalyptic number.

11041300 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 11041300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12276558).

11041300 is an abundant number, since it is smaller than the sum of its proper divisors (13511816).

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

11041300 is a wasteful number, since it uses less digits than its factorization.

11041300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2741 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 11041300 is about 3322.8451664199. The cubic root of 11041300 is about 222.6759959199.

Adding to 11041300 its reverse (314011), we get a palindrome (11355311).

The spelling of 11041300 in words is "eleven million, forty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2693 4100 5386 10772 13465 26930 53860 67325 110413 134650 220826 269300 441652 552065 1104130 2208260 2760325 5520650 11041300