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132531984 = 24331323599
BaseRepresentation
bin1111110011001…
…00011100010000
3100020101022201000
413321210130100
5232412010414
621052342000
73166334424
oct771443420
9306338630
10132531984
11688a1272
1238474900
13215c40c0
141385cb84
15b97db09
hex7e64710

132531984 has 80 divisors (see below), whose sum is σ = 409696000. Its totient is φ = 40777344.

The previous prime is 132531979. The next prime is 132531989. The reversal of 132531984 is 489135231.

132531984 is a `hidden beast` number, since 1 + 32 + 531 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (132531979) and next prime (132531989).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (132531989) 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, 6184 + ... + 17415.

It is an arithmetic number, because the mean of its divisors is an integer number (5121200).

Almost surely, 2132531984 is an apocalyptic number.

It is an amenable number.

132531984 is an abundant number, since it is smaller than the sum of its proper divisors (277164016).

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

132531984 is a wasteful number, since it uses less digits than its factorization.

132531984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23629 (or 23617 counting only the distinct ones).

The product of its digits is 25920, while the sum is 36.

The square root of 132531984 is about 11512.2536455726. The cubic root of 132531984 is about 509.8474284097.

The spelling of 132531984 in words is "one hundred thirty-two million, five hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 23599 47198 70797 94396 141594 188792 212391 283188 306787 377584 424782 566376 613574 637173 849564 920361 1132752 1227148 1274346 1699128 1840722 2454296 2548692 2761083 3398256 3681444 4908592 5097384 5522166 7362888 8283249 10194768 11044332 14725776 16566498 22088664 33132996 44177328 66265992 132531984