Search a number
-
+
132242682 = 231113791951
BaseRepresentation
bin1111110000111…
…01110011111010
3100012211121212010
413320131303322
5232323231212
621042230350
73164021115
oct770356372
9305747763
10132242682
1168713980
12383553b6
1321522510
14137c557c
15b92303c
hex7e1dcfa

132242682 has 64 divisors (see below), whose sum is σ = 314818560. Its totient is φ = 36504000.

The previous prime is 132242681. The next prime is 132242701. The reversal of 132242682 is 286242231.

It is not an unprimeable number, because it can be changed into a prime (132242681) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66807 + ... + 68757.

It is an arithmetic number, because the mean of its divisors is an integer number (4919040).

Almost surely, 2132242682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132242682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157409280).

132242682 is an abundant number, since it is smaller than the sum of its proper divisors (182575878).

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

132242682 is a wasteful number, since it uses less digits than its factorization.

132242682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2059.

The product of its digits is 9216, while the sum is 30.

The square root of 132242682 is about 11499.6818216853. The cubic root of 132242682 is about 509.4761788147.

The spelling of 132242682 in words is "one hundred thirty-two million, two hundred forty-two thousand, six hundred eighty-two".

Divisors: 1 2 3 6 11 13 22 26 33 39 66 78 79 143 158 237 286 429 474 858 869 1027 1738 1951 2054 2607 3081 3902 5214 5853 6162 11297 11706 21461 22594 25363 33891 42922 50726 64383 67782 76089 128766 152178 154129 278993 308258 462387 557986 836979 924774 1673958 1695419 2003677 3390838 4007354 5086257 6011031 10172514 12022062 22040447 44080894 66121341 132242682