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11534768 = 247181569
BaseRepresentation
bin101100000000…
…000110110000
3210201000201122
4230000012300
510423103033
61051121412
7200021030
oct54000660
923630648
1011534768
116569273
123a43268
13250b30b
1417638c0
15102ca98
hexb001b0

11534768 has 40 divisors (see below), whose sum is σ = 25727520. Its totient is φ = 4907520.

The previous prime is 11534741. The next prime is 11534773. The reversal of 11534768 is 86743511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19988 + ... + 20556.

It is an arithmetic number, because the mean of its divisors is an integer number (643188).

Almost surely, 211534768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11534768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12863760).

11534768 is an abundant number, since it is smaller than the sum of its proper divisors (14192752).

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

11534768 is a wasteful number, since it uses less digits than its factorization.

11534768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 759 counting only the distinct ones).

The product of its digits is 20160, while the sum is 35.

The square root of 11534768 is about 3396.2873847777. The cubic root of 11534768 is about 225.9451141940.

The spelling of 11534768 in words is "eleven million, five hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 181 362 569 724 1138 1267 1448 2276 2534 2896 3983 4552 5068 7966 9104 10136 15932 20272 31864 63728 102989 205978 411956 720923 823912 1441846 1647824 2883692 5767384 11534768