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132684432 = 24322912071
BaseRepresentation
bin1111110100010…
…01101010010000
3100020200001211020
413322021222100
5232431400212
621055515440
73200541036
oct772115220
9306601736
10132684432
1168995861
1238528b80
13216485ca
141389c556
15b9add8c
hex7e89a90

132684432 has 40 divisors (see below), whose sum is σ = 344293440. Its totient is φ = 44031360.

The previous prime is 132684421. The next prime is 132684443. The reversal of 132684432 is 234486231.

It is an interprime number because it is at equal distance from previous prime (132684421) and next prime (132684443).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 132684393 and 132684402.

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, 4957 + ... + 17027.

It is an arithmetic number, because the mean of its divisors is an integer number (8607336).

Almost surely, 2132684432 is an apocalyptic number.

132684432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132684432 is an abundant number, since it is smaller than the sum of its proper divisors (211609008).

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

132684432 is a wasteful number, since it uses less digits than its factorization.

132684432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12311 (or 12305 counting only the distinct ones).

The product of its digits is 27648, while the sum is 33.

The square root of 132684432 is about 11518.8728615260. The cubic root of 132684432 is about 510.0428414607.

It can be divided in two parts, 1326 and 84432, that added together give a palindrome (85758).

The spelling of 132684432 in words is "one hundred thirty-two million, six hundred eighty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 229 458 687 916 1374 1832 2748 3664 5496 10992 12071 24142 36213 48284 72426 96568 144852 193136 289704 579408 2764259 5528518 8292777 11057036 16585554 22114072 33171108 44228144 66342216 132684432