Search a number
-
+
132721218 = 23278211283
BaseRepresentation
bin1111110100100…
…10101001000010
3100020201221021200
413322102221002
5232434034333
621100402030
73201053220
oct772225102
9306657250
10132721218
1168a10463
1238546316
132165c286
14138abb10
15b9b9c13
hex7e92a42

132721218 has 48 divisors (see below), whose sum is σ = 329299776. Its totient is φ = 37844640.

The previous prime is 132721217. The next prime is 132721229. The reversal of 132721218 is 812127231.

It is a super-2 number, since 2×1327212182 = 35229843414807048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132721191 and 132721200.

It is not an unprimeable number, because it can be changed into a prime (132721217) 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 23 ways as a sum of consecutive naturals, for example, 102805 + ... + 104087.

It is an arithmetic number, because the mean of its divisors is an integer number (6860412).

Almost surely, 2132721218 is an apocalyptic number.

132721218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

132721218 is an abundant number, since it is smaller than the sum of its proper divisors (196578558).

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

132721218 is a wasteful number, since it uses less digits than its factorization.

132721218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2116 counting only the distinct ones).

The product of its digits is 1344, while the sum is 27.

The square root of 132721218 is about 11520.4695216818. The cubic root of 132721218 is about 510.0899725924.

Adding to 132721218 its reverse (812127231), we get a palindrome (944848449).

The spelling of 132721218 in words is "one hundred thirty-two million, seven hundred twenty-one thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 821 1283 1642 2463 2566 3849 4926 5747 7389 7698 8981 11494 11547 14778 17241 17962 23094 26943 34482 51723 53886 80829 103446 161658 1053343 2106686 3160029 6320058 7373401 9480087 14746802 18960174 22120203 44240406 66360609 132721218