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132530520 = 23355918719
BaseRepresentation
bin1111110011001…
…00000101011000
3100020101020200210
413321210011120
5232411434040
621052331120
73166330233
oct771440530
9306336623
10132530520
11688a0161
1238473aa0
13215c3535
141385c41a
15b97d480
hex7e64158

132530520 has 64 divisors (see below), whose sum is σ = 404352000. Its totient is φ = 34740608.

The previous prime is 132530513. The next prime is 132530527. The reversal of 132530520 is 25035231.

It is an interprime number because it is at equal distance from previous prime (132530513) and next prime (132530527).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132530527) 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 15 ways as a sum of consecutive naturals, for example, 2280 + ... + 16439.

It is an arithmetic number, because the mean of its divisors is an integer number (6318000).

Almost surely, 2132530520 is an apocalyptic number.

132530520 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 132530520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202176000).

132530520 is an abundant number, since it is smaller than the sum of its proper divisors (271821480).

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

132530520 is a wasteful number, since it uses less digits than its factorization.

132530520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18792 (or 18788 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 132530520 is about 11512.1900609745. The cubic root of 132530520 is about 509.8455510782.

Adding to 132530520 its reverse (25035231), we get a palindrome (157565751).

The spelling of 132530520 in words is "one hundred thirty-two million, five hundred thirty thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 18719 37438 56157 74876 93595 112314 149752 187190 224628 280785 374380 449256 561570 748760 1104421 1123140 2208842 2246280 3313263 4417684 5522105 6626526 8835368 11044210 13253052 16566315 22088420 26506104 33132630 44176840 66265260 132530520