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11024080 = 245413361
BaseRepresentation
bin101010000011…
…011011010000
3202202002012021
4222003123100
510310232310
61032141224
7162463114
oct52033320
922662167
1011024080
11624a611
123837814
13238ca32
14166d744
15e7b5da
hexa836d0

11024080 has 40 divisors (see below), whose sum is σ = 26263944. Its totient is φ = 4300800.

The previous prime is 11024071. The next prime is 11024081. The reversal of 11024080 is 8042011.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 318096 + 10705984 = 564^2 + 3272^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11024081) 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, 1600 + ... + 4960.

Almost surely, 211024080 is an apocalyptic number.

11024080 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 11024080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13131972).

11024080 is an abundant number, since it is smaller than the sum of its proper divisors (15239864).

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

11024080 is a wasteful number, since it uses less digits than its factorization.

11024080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3415 (or 3409 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

The square root of 11024080 is about 3320.2530024081. The cubic root of 11024080 is about 222.5601739365.

Adding to 11024080 its reverse (8042011), we get a palindrome (19066091).

The spelling of 11024080 in words is "eleven million, twenty-four thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 164 205 328 410 656 820 1640 3280 3361 6722 13444 16805 26888 33610 53776 67220 134440 137801 268880 275602 551204 689005 1102408 1378010 2204816 2756020 5512040 11024080