Search a number
-
+
132008968 = 23713434217
BaseRepresentation
bin1111101111001…
…00110000001000
3100012101202021001
413313210300020
5232243241333
621033224344
73162025540
oct767446010
9305352231
10132008968
1168574323
12382620b4
1321470020
1413764320
15b8c8b7d
hex7de4c08

132008968 has 64 divisors (see below), whose sum is σ = 311794560. Its totient is φ = 50996736.

The previous prime is 132008963. The next prime is 132008969. The reversal of 132008968 is 869800231.

It is not an unprimeable number, because it can be changed into a prime (132008963) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 29196 + ... + 33412.

It is an arithmetic number, because the mean of its divisors is an integer number (4871790).

Almost surely, 2132008968 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 132008968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155897280).

132008968 is an abundant number, since it is smaller than the sum of its proper divisors (179785592).

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

132008968 is a wasteful number, since it uses less digits than its factorization.

132008968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4286 (or 4282 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

The square root of 132008968 is about 11489.5155685521. The cubic root of 132008968 is about 509.1758674770.

The spelling of 132008968 in words is "one hundred thirty-two million, eight thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 559 602 728 1118 1204 2236 2408 3913 4217 4472 7826 8434 15652 16868 29519 31304 33736 54821 59038 109642 118076 181331 219284 236152 362662 383747 438568 725324 767494 1269317 1450648 1534988 2357303 2538634 3069976 4714606 5077268 9429212 10154536 16501121 18858424 33002242 66004484 132008968