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11045440 = 26574931
BaseRepresentation
bin101010001000…
…101001000000
3202210011111101
4222020221000
510311423230
61032424144
7162612310
oct52105100
922704441
1011045440
11626466a
123848054
132399683
141677440
15e82aca
hexa88a40

11045440 has 56 divisors (see below), whose sum is σ = 30065472. Its totient is φ = 3786240.

The previous prime is 11045431. The next prime is 11045443. The reversal of 11045440 is 4454011.

It is a tau number, because it is divible by the number of its divisors (56).

It is not an unprimeable number, because it can be changed into a prime (11045443) by changing a digit.

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, 226 + ... + 4705.

Almost surely, 211045440 is an apocalyptic number.

11045440 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 11045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15032736).

11045440 is an abundant number, since it is smaller than the sum of its proper divisors (19020032).

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

11045440 is an equidigital number, since it uses as much as digits as its factorization.

11045440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4955 (or 4945 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 11045440 is about 3323.4680681481. The cubic root of 11045440 is about 222.7038236644.

Adding to 11045440 its reverse (4454011), we get a palindrome (15499451).

The spelling of 11045440 in words is "eleven million, forty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 4931 9862 19724 24655 34517 39448 49310 69034 78896 98620 138068 157792 172585 197240 276136 315584 345170 394480 552272 690340 788960 1104544 1380680 1577920 2209088 2761360 5522720 11045440