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11130500 = 2253113197
BaseRepresentation
bin101010011101…
…011010000100
3202221111011202
4222131122010
510322134000
61034322032
7163415303
oct52353204
922844152
1011130500
116312567
123889318
1323c92c4
14169a43a
15e9cdd5
hexa9d684

11130500 has 48 divisors (see below), whose sum is σ = 24648624. Its totient is φ = 4390400.

The previous prime is 11130473. The next prime is 11130517. The reversal of 11130500 is 503111.

It can be written as a sum of positive squares in 8 ways, for example, as 3655744 + 7474756 = 1912^2 + 2734^2 .

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 15 ways as a sum of consecutive naturals, for example, 56402 + ... + 56598.

It is an arithmetic number, because the mean of its divisors is an integer number (513513).

Almost surely, 211130500 is an apocalyptic number.

11130500 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 11130500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12324312).

11130500 is an abundant number, since it is smaller than the sum of its proper divisors (13518124).

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

11130500 is a wasteful number, since it uses less digits than its factorization.

11130500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 15, while the sum is 11.

The square root of 11130500 is about 3336.2403990120. The cubic root of 11130500 is about 223.2740368803.

Adding to 11130500 its reverse (503111), we get a palindrome (11633611).

The spelling of 11130500 in words is "eleven million, one hundred thirty thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 113 125 197 226 250 394 452 500 565 788 985 1130 1970 2260 2825 3940 4925 5650 9850 11300 14125 19700 22261 24625 28250 44522 49250 56500 89044 98500 111305 222610 445220 556525 1113050 2226100 2782625 5565250 11130500