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9912132 = 223430593
BaseRepresentation
bin100101110011…
…111101000100
3200122120220000
4211303331010
510014142012
6552241300
7150152226
oct45637504
920576800
109912132
11566014a
1233a0230
132090889
141460416
15d0bddc
hex973f44

9912132 has 30 divisors (see below), whose sum is σ = 25913118. Its totient is φ = 3303936.

The previous prime is 9912121. The next prime is 9912137. The reversal of 9912132 is 2312199.

It can be written as a sum of positive squares in only one way, i.e., 9036036 + 876096 = 3006^2 + 936^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

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 = 9912096 and 9912105.

It is not an unprimeable number, because it can be changed into a prime (9912137) 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 9 ways as a sum of consecutive naturals, for example, 14973 + ... + 15620.

Almost surely, 29912132 is an apocalyptic number.

It is an amenable number.

9912132 is an abundant number, since it is smaller than the sum of its proper divisors (16000986).

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

9912132 is a wasteful number, since it uses less digits than its factorization.

9912132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30609 (or 30598 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 9912132 is about 3148.3538555887. The cubic root of 9912132 is about 214.8105921558.

The spelling of 9912132 in words is "nine million, nine hundred twelve thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 30593 61186 91779 122372 183558 275337 367116 550674 826011 1101348 1652022 2478033 3304044 4956066 9912132