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11327008 = 257114597
BaseRepresentation
bin101011001101…
…011000100000
3210022110201211
4223031120200
510344431013
61042435504
7165164230
oct53153040
923273654
1011327008
116437170
123962b94
132467894
14170bcc0
15edb23d
hexacd620

11327008 has 48 divisors (see below), whose sum is σ = 27808704. Its totient is φ = 4412160.

The previous prime is 11326999. The next prime is 11327009. The reversal of 11327008 is 80072311.

It is a super-2 number, since 2×113270082 = 256602220464128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a self number, because there is not a number n which added to its sum of digits gives 11327008.

It is not an unprimeable number, because it can be changed into a prime (11327009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 166 + ... + 4762.

It is an arithmetic number, because the mean of its divisors is an integer number (579348).

Almost surely, 211327008 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 11327008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13904352).

11327008 is an abundant number, since it is smaller than the sum of its proper divisors (16481696).

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

11327008 is a wasteful number, since it uses less digits than its factorization.

11327008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4625 (or 4617 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

The square root of 11327008 is about 3365.5620630141. The cubic root of 11327008 is about 224.5803403907.

Adding to 11327008 its reverse (80072311), we get a palindrome (91399319).

The spelling of 11327008 in words is "eleven million, three hundred twenty-seven thousand, eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 4597 9194 18388 32179 36776 50567 64358 73552 101134 128716 147104 202268 257432 353969 404536 514864 707938 809072 1029728 1415876 1618144 2831752 5663504 11327008