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163632132 = 22324545337
BaseRepresentation
bin10011100000011…
…01010000000100
3102101220101002100
421300031100010
5313342212012
624123112100
74024564416
oct1160152004
9371811070
10163632132
1184403274
1246972630
1327b92a61
1417a369b6
15e5738dc
hex9c0d404

163632132 has 18 divisors (see below), whose sum is σ = 413625758. Its totient is φ = 54544032.

The previous prime is 163632127. The next prime is 163632137. The reversal of 163632132 is 231236361.

It is a happy number.

163632132 is a `hidden beast` number, since 1 + 636 + 3 + 21 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (163632127) and next prime (163632137).

It can be written as a sum of positive squares in only one way, i.e., 157402116 + 6230016 = 12546^2 + 2496^2 .

It is a tau number, because it is divible by the number of its divisors (18).

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 = 163632096 and 163632105.

It is not an unprimeable number, because it can be changed into a prime (163632137) 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, 2272633 + ... + 2272704.

Almost surely, 2163632132 is an apocalyptic number.

163632132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

163632132 is an abundant number, since it is smaller than the sum of its proper divisors (249993626).

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

163632132 is a wasteful number, since it uses less digits than its factorization.

163632132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4545347 (or 4545342 counting only the distinct ones).

The product of its digits is 3888, while the sum is 27.

The square root of 163632132 is about 12791.8775791515. The cubic root of 163632132 is about 546.9607927096.

Adding to 163632132 its reverse (231236361), we get a palindrome (394868493).

The spelling of 163632132 in words is "one hundred sixty-three million, six hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 4545337 9090674 13636011 18181348 27272022 40908033 54544044 81816066 163632132