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132040512 = 2632229237
BaseRepresentation
bin1111101111011…
…00011101000000
3100012110100112100
413313230131000
5232300244022
621034030400
73162216522
oct767543500
9305410470
10132040512
1168595a9a
1238278400
13214814a6
1413771a12
15b8d31ac
hex7dec740

132040512 has 42 divisors (see below), whose sum is σ = 378471938. Its totient is φ = 44013312.

The previous prime is 132040507. The next prime is 132040549. The reversal of 132040512 is 215040231.

It can be written as a sum of positive squares in only one way, i.e., 127780416 + 4260096 = 11304^2 + 2064^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 114043 + ... + 115194.

Almost surely, 2132040512 is an apocalyptic number.

132040512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132040512 is an abundant number, since it is smaller than the sum of its proper divisors (246431426).

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

132040512 is a wasteful number, since it uses less digits than its factorization.

132040512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229255 (or 229242 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132040512 is about 11490.8882163217. Note that the first 3 decimals coincide. The cubic root of 132040512 is about 509.2164206926.

Adding to 132040512 its reverse (215040231), we get a palindrome (347080743).

The spelling of 132040512 in words is "one hundred thirty-two million, forty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 229237 458474 687711 916948 1375422 1833896 2063133 2750844 3667792 4126266 5501688 7335584 8252532 11003376 14671168 16505064 22006752 33010128 44013504 66020256 132040512