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132527340 = 22355113767
BaseRepresentation
bin1111110011000…
…11010011101100
3100020101002100000
413321203103230
5232411333330
621052304300
73166315041
oct771432354
9306332300
10132527340
1168898830
1238472090
13215c1c5a
141385b1c8
15b97c560
hex7e634ec

132527340 has 288 divisors, whose sum is σ = 474050304. Its totient is φ = 30792960.

The previous prime is 132527327. The next prime is 132527341. The reversal of 132527340 is 43725231.

132527340 is a `hidden beast` number, since 132 + 527 + 3 + 4 + 0 = 666.

132527340 is a nontrivial binomial coefficient, being equal to C(16281, 2).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132527341) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1977987 + ... + 1978053.

It is an arithmetic number, because the mean of its divisors is an integer number (1646008).

Almost surely, 2132527340 is an apocalyptic number.

132527340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132527340 is the 16280-th triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132527340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237025152).

132527340 is an abundant number, since it is smaller than the sum of its proper divisors (341522964).

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

132527340 is a wasteful number, since it uses less digits than its factorization.

132527340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 132527340 is about 11512.0519456785. The cubic root of 132527340 is about 509.8414732205.

The spelling of 132527340 in words is "one hundred thirty-two million, five hundred twenty-seven thousand, three hundred forty".