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11083280 = 2451310657
BaseRepresentation
bin101010010001…
…111000010000
3202212002101212
4222101320100
510314131110
61033315252
7163130525
oct52217020
922762355
1011083280
11629003a
123865b28
1323b0970
14168714c
15e8de05
hexa91e10

11083280 has 40 divisors (see below), whose sum is σ = 27753432. Its totient is φ = 4091904.

The previous prime is 11083279. The next prime is 11083283. The reversal of 11083280 is 8238011.

It can be written as a sum of positive squares in 4 ways, for example, as 246016 + 10837264 = 496^2 + 3292^2 .

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

It is not an unprimeable number, because it can be changed into a prime (11083283) 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, 4289 + ... + 6368.

Almost surely, 211083280 is an apocalyptic number.

11083280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11083280 is an abundant number, since it is smaller than the sum of its proper divisors (16670152).

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

11083280 is a wasteful number, since it uses less digits than its factorization.

11083280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10683 (or 10677 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11083280 is about 3329.1560492113. The cubic root of 11083280 is about 222.9578502921.

The spelling of 11083280 in words is "eleven million, eighty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 10657 21314 42628 53285 85256 106570 138541 170512 213140 277082 426280 554164 692705 852560 1108328 1385410 2216656 2770820 5541640 11083280