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11013440 = 265127271
BaseRepresentation
bin101010000000…
…110101000000
3202201112121012
4222000311000
510304412230
61032020052
7162420104
oct52006500
922645535
1011013440
116242619
123831628
132387c39
141669904
15e78395
hexa80d40

11013440 has 56 divisors (see below), whose sum is σ = 26529792. Its totient is φ = 4354560.

The previous prime is 11013439. The next prime is 11013473. The reversal of 11013440 is 4431011.

It is a happy number.

It is a congruent number.

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, 40505 + ... + 40775.

Almost surely, 211013440 is an apocalyptic number.

11013440 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 11013440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13264896).

11013440 is an abundant number, since it is smaller than the sum of its proper divisors (15516352).

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

11013440 is a wasteful number, since it uses less digits than its factorization.

11013440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

The square root of 11013440 is about 3318.6503280701. The cubic root of 11013440 is about 222.4885488362.

Adding to 11013440 its reverse (4431011), we get a palindrome (15444451).

The spelling of 11013440 in words is "eleven million, thirteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 160 254 271 320 508 542 635 1016 1084 1270 1355 2032 2168 2540 2710 4064 4336 5080 5420 8128 8672 10160 10840 17344 20320 21680 34417 40640 43360 68834 86720 137668 172085 275336 344170 550672 688340 1101344 1376680 2202688 2753360 5506720 11013440