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11140384 = 251973251
BaseRepresentation
bin101010011111…
…110100100000
3202221222201211
4222133310200
510322443014
61034435504
7163456153
oct52376440
922858654
1011140384
116319a32
123892b94
132400958
14169dc9a
15ea0cc4
hexa9fd20

11140384 has 48 divisors (see below), whose sum is σ = 23496480. Its totient is φ = 5184000.

The previous prime is 11140361. The next prime is 11140387. The reversal of 11140384 is 48304111.

11140384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11140387) 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, 44259 + ... + 44509.

It is an arithmetic number, because the mean of its divisors is an integer number (489510).

Almost surely, 211140384 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 11140384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11748240).

11140384 is an abundant number, since it is smaller than the sum of its proper divisors (12356096).

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

11140384 is a wasteful number, since it uses less digits than its factorization.

11140384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11140384 is about 3337.7213784257. The cubic root of 11140384 is about 223.3401072176.

Adding to 11140384 its reverse (48304111), we get a palindrome (59444495).

The spelling of 11140384 in words is "eleven million, one hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 32 38 73 76 146 152 251 292 304 502 584 608 1004 1168 1387 2008 2336 2774 4016 4769 5548 8032 9538 11096 18323 19076 22192 36646 38152 44384 73292 76304 146584 152608 293168 348137 586336 696274 1392548 2785096 5570192 11140384