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132885424 = 24729163251
BaseRepresentation
bin1111110101110…
…10101110110000
3100021001021112101
413322322232300
5233004313144
621104110144
73202336030
oct772725660
9307037471
10132885424
1169012871
1238605354
13216b8c39
14139118c0
15b9ed6d4
hex7ebabb0

132885424 has 80 divisors (see below), whose sum is σ = 307480320. Its totient is φ = 54432000.

The previous prime is 132885419. The next prime is 132885427. The reversal of 132885424 is 424588231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132885427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 529299 + ... + 529549.

It is an arithmetic number, because the mean of its divisors is an integer number (3843504).

Almost surely, 2132885424 is an apocalyptic number.

132885424 is a gapful number since it is divisible by the number (14) 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 132885424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153740160).

132885424 is an abundant number, since it is smaller than the sum of its proper divisors (174594896).

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

132885424 is a wasteful number, since it uses less digits than its factorization.

132885424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 452 counting only the distinct ones).

The product of its digits is 61440, while the sum is 37.

The square root of 132885424 is about 11527.5940247738. The cubic root of 132885424 is about 510.3002512395.

The spelling of 132885424 in words is "one hundred thirty-two million, eight hundred eighty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 29 56 58 112 116 163 203 232 251 326 406 464 502 652 812 1004 1141 1304 1624 1757 2008 2282 2608 3248 3514 4016 4564 4727 7028 7279 9128 9454 14056 14558 18256 18908 28112 29116 33089 37816 40913 50953 58232 66178 75632 81826 101906 116464 132356 163652 203812 264712 286391 327304 407624 529424 572782 654608 815248 1145564 1186477 2291128 2372954 4582256 4745908 8305339 9491816 16610678 18983632 33221356 66442712 132885424