Search a number
-
+
132432001 = 1353732633
BaseRepresentation
bin1111110010011…
…00000010000001
3100020012020112221
413321030002001
5232400311001
621050251041
73165440062
oct771140201
9306166487
10132432001
1168833139
1238426a81
132158a740
1413834569
15b95e1a1
hex7e4c081

132432001 has 16 divisors (see below), whose sum is σ = 147356496. Its totient is φ = 118250496.

The previous prime is 132431987. The next prime is 132432007. The reversal of 132432001 is 100234231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 6969600 + 125462401 = 2640^2 + 11201^2 .

It is not a de Polignac number, because 132432001 - 29 = 132431489 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132432007) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 48981 + ... + 51613.

It is an arithmetic number, because the mean of its divisors is an integer number (9209781).

Almost surely, 2132432001 is an apocalyptic number.

It is an amenable number.

132432001 is a deficient number, since it is larger than the sum of its proper divisors (14924495).

132432001 is a wasteful number, since it uses less digits than its factorization.

132432001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2772.

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 132432001 is about 11507.9103663524. The cubic root of 132432001 is about 509.7191854046.

Adding to 132432001 its reverse (100234231), we get a palindrome (232666232).

The spelling of 132432001 in words is "one hundred thirty-two million, four hundred thirty-two thousand, one".

Divisors: 1 13 53 73 689 949 2633 3869 34229 50297 139549 192209 1814137 2498717 10187077 132432001