Search a number
-
+
132869464 = 23713229797
BaseRepresentation
bin1111110101101…
…10110101011000
3100021000110122021
413322312311120
5233003310324
621103504224
73202241350
oct772666530
9307013567
10132869464
1169001882
12385b8074
13216b18b0
1413909b60
15b9e8ae4
hex7eb6d58

132869464 has 64 divisors (see below), whose sum is σ = 308347200. Its totient is φ = 52268544.

The previous prime is 132869461. The next prime is 132869483. The reversal of 132869464 is 464968231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132869464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132869461) 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 15 ways as a sum of consecutive naturals, for example, 166314 + ... + 167110.

It is an arithmetic number, because the mean of its divisors is an integer number (4817925).

Almost surely, 2132869464 is an apocalyptic number.

132869464 is a gapful number since it is divisible by the number (14) 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 132869464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154173600).

132869464 is an abundant number, since it is smaller than the sum of its proper divisors (175477736).

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

132869464 is a wasteful number, since it uses less digits than its factorization.

132869464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1052 (or 1048 counting only the distinct ones).

The product of its digits is 248832, while the sum is 43.

The square root of 132869464 is about 11526.9017519887. The cubic root of 132869464 is about 510.2798208120.

The spelling of 132869464 in words is "one hundred thirty-two million, eight hundred sixty-nine thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 229 364 458 728 797 916 1594 1603 1832 2977 3188 3206 5579 5954 6376 6412 10361 11158 11908 12824 20722 20839 22316 23816 41444 41678 44632 72527 82888 83356 145054 166712 182513 290108 365026 580216 730052 1277591 1460104 2372669 2555182 4745338 5110364 9490676 10220728 16608683 18981352 33217366 66434732 132869464