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11265040 = 245140813
BaseRepresentation
bin101010111110…
…010000010000
3210012022201201
4222332100100
510340440130
61041240544
7164515453
oct52762020
923168651
1011265040
1163a4656
123933154
132445607
1416d349a
15ec7bca
hexabe410

11265040 has 20 divisors (see below), whose sum is σ = 26191404. Its totient is φ = 4505984.

The previous prime is 11265031. The next prime is 11265049. The reversal of 11265040 is 4056211.

It is an interprime number because it is at equal distance from previous prime (11265031) and next prime (11265049).

It can be written as a sum of positive squares in 2 ways, for example, as 4210704 + 7054336 = 2052^2 + 2656^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×112650402 = 253802252403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 11264999 and 11265017.

It is not an unprimeable number, because it can be changed into a prime (11265049) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70327 + ... + 70486.

Almost surely, 211265040 is an apocalyptic number.

11265040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11265040 is an abundant number, since it is smaller than the sum of its proper divisors (14926364).

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

11265040 is a wasteful number, since it uses less digits than its factorization.

11265040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140826 (or 140820 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

The square root of 11265040 is about 3356.3432482391. The cubic root of 11265040 is about 224.1700452006.

The spelling of 11265040 in words is "eleven million, two hundred sixty-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 140813 281626 563252 704065 1126504 1408130 2253008 2816260 5632520 11265040