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11024900 = 2252412689
BaseRepresentation
bin101010000011…
…101000000100
3202202010022122
4222003220010
510310244100
61032145112
7162465365
oct52035004
922663278
1011024900
116250197
123838198
132390213
14166db6c
15e7b985
hexa83a04

11024900 has 36 divisors (see below), whose sum is σ = 24516660. Its totient is φ = 4300800.

The previous prime is 11024887. The next prime is 11024903. The reversal of 11024900 is 942011.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 4804864 + 6220036 = 2192^2 + 2494^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024903) 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, 2756 + ... + 5444.

Almost surely, 211024900 is an apocalyptic number.

11024900 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 11024900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12258330).

11024900 is an abundant number, since it is smaller than the sum of its proper divisors (13491760).

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

11024900 is a wasteful number, since it uses less digits than its factorization.

11024900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2744 (or 2737 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 11024900 is about 3320.3764846776. The cubic root of 11024900 is about 222.5656920029.

Adding to 11024900 its reverse (942011), we get a palindrome (11966911).

The spelling of 11024900 in words is "eleven million, twenty-four thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 410 820 1025 2050 2689 4100 5378 10756 13445 26890 53780 67225 110249 134450 220498 268900 440996 551245 1102490 2204980 2756225 5512450 11024900