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11040040 = 2351122281
BaseRepresentation
bin101010000111…
…010100101000
3202202220002101
4222013110220
510311240130
61032343144
7162560464
oct52072450
922686071
1011040040
116260600
123844ab4
13239708b
1416754a4
15e811ca
hexa87528

11040040 has 48 divisors (see below), whose sum is σ = 27315540. Its totient is φ = 4012800.

The previous prime is 11040037. The next prime is 11040047. The reversal of 11040040 is 4004011.

It can be written as a sum of positive squares in 2 ways, for example, as 11035684 + 4356 = 3322^2 + 66^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 11039999 and 11040026.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11040047) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3700 + ... + 5980.

Almost surely, 211040040 is an apocalyptic number.

11040040 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 11040040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657770).

11040040 is an abundant number, since it is smaller than the sum of its proper divisors (16275500).

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

11040040 is a wasteful number, since it uses less digits than its factorization.

11040040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2314 (or 2299 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 11040040 is about 3322.6555644544. The cubic root of 11040040 is about 222.6675252257.

Adding to 11040040 its reverse (4004011), we get a palindrome (15044051).

The spelling of 11040040 in words is "eleven million, forty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 2281 2420 4562 4840 9124 11405 18248 22810 25091 45620 50182 91240 100364 125455 200728 250910 276001 501820 552002 1003640 1104004 1380005 2208008 2760010 5520020 11040040