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132431104 = 281323061
BaseRepresentation
bin1111110010010…
…11110100000000
3100020012012022201
413321023310000
5232400243404
621050242544
73165434341
oct771136400
9306165281
10132431104
11688324a3
1238426454
132158a200
14138340c8
15b95dca4
hex7e4bd00

132431104 has 54 divisors (see below), whose sum is σ = 286336806. Its totient is φ = 61102080.

The previous prime is 132431087. The next prime is 132431137. The reversal of 132431104 is 401134231.

It can be written as a sum of positive squares in 3 ways, for example, as 10549504 + 121881600 = 3248^2 + 11040^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 41734 + ... + 44794.

Almost surely, 2132431104 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 132431104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143168403).

132431104 is an abundant number, since it is smaller than the sum of its proper divisors (153905702).

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

132431104 is an equidigital number, since it uses as much as digits as its factorization.

132431104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 132431104 is about 11507.8713930944. The cubic root of 132431104 is about 509.7180345771.

Adding to 132431104 its reverse (401134231), we get a palindrome (533565335).

The spelling of 132431104 in words is "one hundred thirty-two million, four hundred thirty-one thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 676 832 1352 1664 2704 3061 3328 5408 6122 10816 12244 21632 24488 39793 43264 48976 79586 97952 159172 195904 318344 391808 517309 636688 783616 1034618 1273376 2069236 2546752 4138472 5093504 8276944 10187008 16553888 33107776 66215552 132431104