Search a number
-
+
132261480 = 233251359479
BaseRepresentation
bin1111110001000…
…10011001101000
3100012212120122100
413320202121220
5232324331410
621042453400
73164126661
oct770423150
9305776570
10132261480
116872700a
1238364260
132152ac40
14137cc368
15b9288c0
hex7e22668

132261480 has 192 divisors, whose sum is σ = 471744000. Its totient is φ = 31938048.

The previous prime is 132261443. The next prime is 132261487. The reversal of 132261480 is 84162231.

132261480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (132261487) 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 47 ways as a sum of consecutive naturals, for example, 275881 + ... + 276359.

It is an arithmetic number, because the mean of its divisors is an integer number (2457000).

Almost surely, 2132261480 is an apocalyptic number.

132261480 is a gapful number since it is divisible by the number (10) 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 132261480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235872000).

132261480 is an abundant number, since it is smaller than the sum of its proper divisors (339482520).

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

132261480 is a wasteful number, since it uses less digits than its factorization.

132261480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 568 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 132261480 is about 11500.4991196035. The cubic root of 132261480 is about 509.5003179689.

It can be divided in two parts, 13226 and 1480, that added together give a triangular number (14706 = T171).

The spelling of 132261480 in words is "one hundred thirty-two million, two hundred sixty-one thousand, four hundred eighty".