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11532096 = 263220021
BaseRepresentation
bin101011111111…
…011101000000
3210200220001200
4223333131000
510423011341
61051101200
7200010162
oct53773500
923626050
1011532096
116567264
123a41800
13250a034
141762932
15102bdb6
hexaff740

11532096 has 42 divisors (see below), whose sum is σ = 33056322. Its totient is φ = 3843840.

The previous prime is 11532077. The next prime is 11532097. The reversal of 11532096 is 69023511.

It can be written as a sum of positive squares in only one way, i.e., 6969600 + 4562496 = 2640^2 + 2136^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11532097) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9435 + ... + 10586.

Almost surely, 211532096 is an apocalyptic number.

11532096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11532096 is an abundant number, since it is smaller than the sum of its proper divisors (21524226).

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

11532096 is a wasteful number, since it uses less digits than its factorization.

11532096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20039 (or 20026 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The square root of 11532096 is about 3395.8939912783. The cubic root of 11532096 is about 225.9276663075.

It can be divided in two parts, 1153 and 2096, that added together give a square (3249 = 572).

The spelling of 11532096 in words is "eleven million, five hundred thirty-two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20021 40042 60063 80084 120126 160168 180189 240252 320336 360378 480504 640672 720756 961008 1281344 1441512 1922016 2883024 3844032 5766048 11532096