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11130576 = 243673461
BaseRepresentation
bin101010011101…
…011011010000
3202221111021120
4222131123100
510322134301
61034322240
7163415442
oct52353320
922844246
1011130576
116312626
123889380
1323c9352
14169a492
15e9ce36
hexa9d6d0

11130576 has 40 divisors (see below), whose sum is σ = 29191584. Its totient is φ = 3653760.

The previous prime is 11130569. The next prime is 11130589. The reversal of 11130576 is 67503111.

11130576 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1486 + ... + 4946.

Almost surely, 211130576 is an apocalyptic number.

11130576 is a gapful number since it is divisible by the number (16) 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 11130576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14595792).

11130576 is an abundant number, since it is smaller than the sum of its proper divisors (18061008).

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

11130576 is a wasteful number, since it uses less digits than its factorization.

11130576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3539 (or 3533 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 11130576 is about 3336.2517890591. The cubic root of 11130576 is about 223.2745450571.

Adding to 11130576 its reverse (67503111), we get a palindrome (78633687).

The spelling of 11130576 in words is "eleven million, one hundred thirty thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 201 268 402 536 804 1072 1608 3216 3461 6922 10383 13844 20766 27688 41532 55376 83064 166128 231887 463774 695661 927548 1391322 1855096 2782644 3710192 5565288 11130576