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11140240 = 2451311063
BaseRepresentation
bin101010011111…
…110010010000
3202221222112111
4222133302100
510322441430
61034435104
7163455556
oct52376220
922858474
1011140240
116319911
123892a94
132400877
14169dbd6
15ea0c2a
hexa9fc90

11140240 has 40 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 4417920.

The previous prime is 11140231. The next prime is 11140267. The reversal of 11140240 is 4204111.

11140240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 11140240.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9949 + ... + 11011.

Almost surely, 211140240 is an apocalyptic number.

11140240 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 11140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

11140240 is an abundant number, since it is smaller than the sum of its proper divisors (14983088).

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

11140240 is a wasteful number, since it uses less digits than its factorization.

11140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1207 (or 1201 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The square root of 11140240 is about 3337.6998067531. The cubic root of 11140240 is about 223.3391449194.

Adding to 11140240 its reverse (4204111), we get a palindrome (15344351).

The spelling of 11140240 in words is "eleven million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 524 655 1048 1063 1310 2096 2126 2620 4252 5240 5315 8504 10480 10630 17008 21260 42520 85040 139253 278506 557012 696265 1114024 1392530 2228048 2785060 5570120 11140240