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11530656 = 253240037
BaseRepresentation
bin101011111111…
…000110100000
3210200211002100
4223333012200
510422440111
61051050400
7200003034
oct53770640
923624070
1011530656
116566175
123a40a00
132509497
1417621c4
15102b756
hexaff1a0

11530656 has 36 divisors (see below), whose sum is σ = 32791122. Its totient is φ = 3843456.

The previous prime is 11530621. The next prime is 11530669. The reversal of 11530656 is 65603511.

It is a happy number.

11530656 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 0 + 656 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8503056 + 3027600 = 2916^2 + 1740^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 19731 + ... + 20306.

Almost surely, 211530656 is an apocalyptic number.

11530656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11530656 is an abundant number, since it is smaller than the sum of its proper divisors (21260466).

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

11530656 is a wasteful number, since it uses less digits than its factorization.

11530656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40053 (or 40042 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 11530656 is about 3395.6819639065. The cubic root of 11530656 is about 225.9182621373.

The spelling of 11530656 in words is "eleven million, five hundred thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40037 80074 120111 160148 240222 320296 360333 480444 640592 720666 960888 1281184 1441332 1921776 2882664 3843552 5765328 11530656