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132528540 = 22352208809
BaseRepresentation
bin1111110011000…
…11100110011100
3100020101010222110
413321203212130
5232411403130
621052314020
73166321404
oct771434634
9306333873
10132528540
1168899721
1238472910
13215c2671
141385b804
15b97cab0
hex7e6399c

132528540 has 24 divisors (see below), whose sum is σ = 371080080. Its totient is φ = 35340928.

The previous prime is 132528527. The next prime is 132528541. The reversal of 132528540 is 45825231.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 132528498 and 132528507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132528541) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1104345 + ... + 1104464.

It is an arithmetic number, because the mean of its divisors is an integer number (15461670).

Almost surely, 2132528540 is an apocalyptic number.

132528540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132528540 is an abundant number, since it is smaller than the sum of its proper divisors (238551540).

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

132528540 is a wasteful number, since it uses less digits than its factorization.

132528540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208821 (or 2208819 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 132528540 is about 11512.1040648528. The cubic root of 132528540 is about 509.8430120424.

The spelling of 132528540 in words is "one hundred thirty-two million, five hundred twenty-eight thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 2208809 4417618 6626427 8835236 11044045 13252854 22088090 26505708 33132135 44176180 66264270 132528540