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132468075 = 33524432
BaseRepresentation
bin1111110010101…
…00110101101011
3100020021002001000
413321110311223
5232402434300
621051130043
73165650205
oct771246553
9306232030
10132468075
1168858253
1238443923
13215a0c9c
1413843775
15b969c00
hex7e54d6b

132468075 has 36 divisors (see below), whose sum is σ = 243899320. Its totient is φ = 70490160.

The previous prime is 132468047. The next prime is 132468101. The reversal of 132468075 is 570864231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is not a de Polignac number, because 132468075 - 212 = 132463979 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 298804 + ... + 299246.

Almost surely, 2132468075 is an apocalyptic number.

132468075 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132468075 is a deficient number, since it is larger than the sum of its proper divisors (111431245).

132468075 is an frugal number, since it uses more digits than its factorization.

132468075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 905 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 132468075 is about 11509.4776162952. The cubic root of 132468075 is about 509.7654630928.

It can be divided in two parts, 13246 and 8075, that added together give a triangular number (21321 = T206).

The spelling of 132468075 in words is "one hundred thirty-two million, four hundred sixty-eight thousand, seventy-five".

Divisors: 1 3 5 9 15 25 27 45 75 135 225 443 675 1329 2215 3987 6645 11075 11961 19935 33225 59805 99675 196249 299025 588747 981245 1766241 2943735 4906225 5298723 8831205 14718675 26493615 44156025 132468075