Search a number
-
+
132606440 = 235891932
BaseRepresentation
bin1111110011101…
…10100111101000
3100020112002211122
413321312213220
5232421401230
621054114412
73200064461
oct771664750
9306462748
10132606440
11689421aa
12384aba08
132161bc65
141387bd68
15b995be5
hex7e769e8

132606440 has 48 divisors (see below), whose sum is σ = 303288300. Its totient is φ = 52174848.

The previous prime is 132606433. The next prime is 132606449. The reversal of 132606440 is 44606231.

132606440 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 9972964 + 122633476 = 3158^2 + 11074^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132606449) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 686984 + ... + 687176.

Almost surely, 2132606440 is an apocalyptic number.

132606440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132606440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151644150).

132606440 is an abundant number, since it is smaller than the sum of its proper divisors (170681860).

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

132606440 is an equidigital number, since it uses as much as digits as its factorization.

132606440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 132606440 is about 11515.4869632161. The cubic root of 132606440 is about 509.9428873633.

The spelling of 132606440 in words is "one hundred thirty-two million, six hundred six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 89 178 193 356 386 445 712 772 890 965 1544 1780 1930 3560 3860 7720 17177 34354 37249 68708 74498 85885 137416 148996 171770 186245 297992 343540 372490 687080 744980 1489960 3315161 6630322 13260644 16575805 26521288 33151610 66303220 132606440