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132418328 = 23743127433
BaseRepresentation
bin1111110010010…
…00101100011000
3100020011112210112
413321020230120
5232344341303
621050103452
73165352160
oct771105430
9306145715
10132418328
1168823939
123841ab88
1321584453
141382d5a0
15b95a0d8
hex7e48b18

132418328 has 64 divisors (see below), whose sum is σ = 293314560. Its totient is φ = 54867456.

The previous prime is 132418303. The next prime is 132418343. The reversal of 132418328 is 823814231.

It is a super-2 number, since 2×1324183282 = 35069227180631168, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132418294 and 132418303.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 305600 + ... + 306032.

It is an arithmetic number, because the mean of its divisors is an integer number (4583040).

Almost surely, 2132418328 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 132418328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146657280).

132418328 is an abundant number, since it is smaller than the sum of its proper divisors (160896232).

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

132418328 is a wasteful number, since it uses less digits than its factorization.

132418328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 612 counting only the distinct ones).

The product of its digits is 9216, while the sum is 32.

The square root of 132418328 is about 11507.3162813925. The cubic root of 132418328 is about 509.7016427406.

The spelling of 132418328 in words is "one hundred thirty-two million, four hundred eighteen thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 43 56 86 127 172 254 301 344 433 508 602 866 889 1016 1204 1732 1778 2408 3031 3464 3556 5461 6062 7112 10922 12124 18619 21844 24248 37238 38227 43688 54991 74476 76454 109982 130333 148952 152908 219964 260666 305816 384937 439928 521332 769874 1042664 1539748 2364613 3079496 4729226 9458452 16552291 18916904 33104582 66209164 132418328