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132595056 = 24341171131
BaseRepresentation
bin1111110011100…
…11110101110000
3100020111112020000
413321303311300
5232421020211
621053550000
73200016336
oct771636560
9306445200
10132595056
11689346a0
12384a5300
1321616a19
1413877b56
15b992656
hex7e73d70

132595056 has 200 divisors, whose sum is σ = 427794048. Its totient is φ = 39312000.

The previous prime is 132595051. The next prime is 132595079. The reversal of 132595056 is 650595231.

132595056 is a `hidden beast` number, since 13 + 2 + 595 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 132595056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132595051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1012111 + ... + 1012241.

Almost surely, 2132595056 is an apocalyptic number.

132595056 is a gapful number since it is divisible by the number (16) 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 132595056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213897024).

132595056 is an abundant number, since it is smaller than the sum of its proper divisors (295198992).

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

132595056 is a wasteful number, since it uses less digits than its factorization.

132595056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 132595056 is about 11514.9926617432. The cubic root of 132595056 is about 509.9282944170.

It can be divided in two parts, 1325950 and 56, that added together give a triangular number (1326006 = T1628).

The spelling of 132595056 in words is "one hundred thirty-two million, five hundred ninety-five thousand, fifty-six".