Search a number
-
+
132061440 = 28357173
BaseRepresentation
bin1111101111100…
…01100100000000
3100012111102020110
413313301210000
5232301431230
621034311320
73162334530
oct767614400
9305442213
10132061440
11685aa795
1238288540
132148ab84
14137794c0
15b8d94b0
hex7df1900

132061440 has 288 divisors, whose sum is σ = 512144640. Its totient is φ = 28409856.

The previous prime is 132061427. The next prime is 132061441. The reversal of 132061440 is 44160231.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132061441) 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 31 ways as a sum of consecutive naturals, for example, 7768312 + ... + 7768328.

It is an arithmetic number, because the mean of its divisors is an integer number (1778280).

Almost surely, 2132061440 is an apocalyptic number.

132061440 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 132061440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256072320).

132061440 is an abundant number, since it is smaller than the sum of its proper divisors (380083200).

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

132061440 is an frugal number, since it uses more digits than its factorization.

132061440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 132061440 is about 11491.7988148070. The cubic root of 132061440 is about 509.2433223309.

The spelling of 132061440 in words is "one hundred thirty-two million, sixty-one thousand, four hundred forty".