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12375432 = 2332171881
BaseRepresentation
bin101111001101…
…010110001000
3212021201220100
4233031112020
511132003212
61121125400
7210121656
oct57152610
925251810
1012375432
116a92933
124189860
132743b54
141901dd6
151146bdc
hexbcd588

12375432 has 24 divisors (see below), whose sum is σ = 33516990. Its totient is φ = 4125120.

The previous prime is 12375413. The next prime is 12375437. The reversal of 12375432 is 23457321.

12375432 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 9326916 + 3048516 = 3054^2 + 1746^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a junction number, because it is equal to n+sod(n) for n = 12375396 and 12375405.

It is not an unprimeable number, because it can be changed into a prime (12375437) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85869 + ... + 86012.

Almost surely, 212375432 is an apocalyptic number.

12375432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12375432 is an abundant number, since it is smaller than the sum of its proper divisors (21141558).

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

12375432 is a wasteful number, since it uses less digits than its factorization.

12375432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171893 (or 171886 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 12375432 is about 3517.8732211380. The cubic root of 12375432 is about 231.3059419566.

The spelling of 12375432 in words is "twelve million, three hundred seventy-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 171881 343762 515643 687524 1031286 1375048 1546929 2062572 3093858 4125144 6187716 12375432