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132434432 = 2913101197
BaseRepresentation
bin1111110010011…
…00101000000000
3100020012100212222
413321030220000
5232400400212
621050310212
73165450134
oct771145000
9306170788
10132434432
1168834a49
1238428368
132158b890
14138353c4
15b95ec72
hex7e4ca00

132434432 has 80 divisors (see below), whose sum is σ = 289247112. Its totient is φ = 60211200.

The previous prime is 132434429. The next prime is 132434461. The reversal of 132434432 is 234434231.

It can be written as a sum of positive squares in 4 ways, for example, as 132342016 + 92416 = 11504^2 + 304^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 672158 + ... + 672354.

Almost surely, 2132434432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132434432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144623556).

132434432 is an abundant number, since it is smaller than the sum of its proper divisors (156812680).

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

132434432 is a wasteful number, since it uses less digits than its factorization.

132434432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 313 counting only the distinct ones).

The product of its digits is 6912, while the sum is 26.

The square root of 132434432 is about 11508.0159888662. The cubic root of 132434432 is about 509.7223042876.

Adding to 132434432 its reverse (234434231), we get a palindrome (366868663).

The spelling of 132434432 in words is "one hundred thirty-two million, four hundred thirty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 101 104 128 197 202 208 256 394 404 416 512 788 808 832 1313 1576 1616 1664 2561 2626 3152 3232 3328 5122 5252 6304 6464 6656 10244 10504 12608 12928 19897 20488 21008 25216 25856 39794 40976 42016 50432 51712 79588 81952 84032 100864 159176 163904 168064 258661 318352 327808 336128 517322 636704 655616 672256 1034644 1273408 1311232 2069288 2546816 4138576 5093632 8277152 10187264 16554304 33108608 66217216 132434432