Search a number
-
+
132467661 = 32611012389
BaseRepresentation
bin1111110010101…
…00101111001101
3100020021001110200
413321110233031
5232402431121
621051124113
73165646044
oct771245715
9306231420
10132467661
1168857a07
1238443639
13215a0a41
141384355b
15b969a26
hex7e54bcd

132467661 has 24 divisors (see below), whose sum is σ = 196486680. Its totient is φ = 85968000.

The previous prime is 132467653. The next prime is 132467663. The reversal of 132467661 is 166764231.

It is a happy number.

132467661 is a `hidden beast` number, since 132 + 467 + 6 + 61 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7452900 + 125014761 = 2730^2 + 11181^2 .

It is not a de Polignac number, because 132467661 - 23 = 132467653 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132467663) 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 23 ways as a sum of consecutive naturals, for example, 54255 + ... + 56643.

It is an arithmetic number, because the mean of its divisors is an integer number (8186945).

Almost surely, 2132467661 is an apocalyptic number.

It is an amenable number.

132467661 is a deficient number, since it is larger than the sum of its proper divisors (64019019).

132467661 is a wasteful number, since it uses less digits than its factorization.

132467661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2557 (or 2554 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 132467661 is about 11509.4596311035. The cubic root of 132467661 is about 509.7649320388.

The spelling of 132467661 in words is "one hundred thirty-two million, four hundred sixty-seven thousand, six hundred sixty-one".

Divisors: 1 3 9 61 101 183 303 549 909 2389 6161 7167 18483 21501 55449 145729 241289 437187 723867 1311561 2171601 14718629 44155887 132467661