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11327040 = 263451923
BaseRepresentation
bin101011001101…
…011001000000
3210022110210000
4223031121000
510344431130
61042440000
7165164304
oct53153100
923273700
1011327040
11643719a
123963000
1324678ba
14170bd04
15edb260
hexacd640

11327040 has 280 divisors, whose sum is σ = 44256960. Its totient is φ = 2737152.

The previous prime is 11327039. The next prime is 11327051. The reversal of 11327040 is 4072311.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 492469 + ... + 492491.

Almost surely, 211327040 is an apocalyptic number.

11327040 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 11327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22128480).

11327040 is an abundant number, since it is smaller than the sum of its proper divisors (32929920).

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

11327040 is a wasteful number, since it uses less digits than its factorization.

11327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 18.

The square root of 11327040 is about 3365.5668170458. The cubic root of 11327040 is about 224.5805518782.

Adding to 11327040 its reverse (4072311), we get a palindrome (15399351).

The spelling of 11327040 in words is "eleven million, three hundred twenty-seven thousand, forty".