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132060224 = 2643471021
BaseRepresentation
bin1111101111100…
…01010001000000
3100012111100120102
413313301101000
5232301411344
621034301532
73162331142
oct767612100
9305440512
10132060224
11685a988a
12382878a8
132148a45a
1413778c92
15b8d8e4e
hex7df1440

132060224 has 56 divisors (see below), whose sum is σ = 274124928. Its totient is φ = 63060480.

The previous prime is 132060209. The next prime is 132060239. The reversal of 132060224 is 422060231.

It is an interprime number because it is at equal distance from previous prime (132060209) and next prime (132060239).

It is a super-3 number, since 3×1320602243 (a number of 25 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132060196 and 132060205.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 128834 + ... + 129854.

It is an arithmetic number, because the mean of its divisors is an integer number (4895088).

Almost surely, 2132060224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137062464).

132060224 is an abundant number, since it is smaller than the sum of its proper divisors (142064704).

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

132060224 is a wasteful number, since it uses less digits than its factorization.

132060224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1123 (or 1113 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 132060224 is about 11491.7459073894. The cubic root of 132060224 is about 509.2417593165.

The spelling of 132060224 in words is "one hundred thirty-two million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 32 43 47 64 86 94 172 188 344 376 688 752 1021 1376 1504 2021 2042 2752 3008 4042 4084 8084 8168 16168 16336 32336 32672 43903 47987 64672 65344 87806 95974 129344 175612 191948 351224 383896 702448 767792 1404896 1535584 2063441 2809792 3071168 4126882 8253764 16507528 33015056 66030112 132060224