Search a number
-
+
132263012 = 22737432969
BaseRepresentation
bin1111110001000…
…10110001100100
3100012212122202002
413320202301210
5232324404022
621042504432
73164134310
oct770426144
9305778662
10132263012
1168728182
1238365118
132152b84b
14137ccb40
15b929092
hex7e22c64

132263012 has 48 divisors (see below), whose sum is σ = 278087040. Its totient is φ = 53851392.

The previous prime is 132263011. The next prime is 132263023. The reversal of 132263012 is 210362231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132263011) 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, 43064 + ... + 46032.

It is an arithmetic number, because the mean of its divisors is an integer number (5793480).

Almost surely, 2132263012 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 132263012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139043520).

132263012 is an abundant number, since it is smaller than the sum of its proper divisors (145824028).

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

132263012 is a wasteful number, since it uses less digits than its factorization.

132263012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3060 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 132263012 is about 11500.5657252154. The cubic root of 132263012 is about 509.5022851616.

The spelling of 132263012 in words is "one hundred thirty-two million, two hundred sixty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 37 43 74 86 148 172 259 301 518 602 1036 1204 1591 2969 3182 5938 6364 11137 11876 20783 22274 41566 44548 83132 109853 127667 219706 255334 439412 510668 768971 893669 1537942 1787338 3075884 3574676 4723679 9447358 18894716 33065753 66131506 132263012