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2132832 = 253131709
BaseRepresentation
bin1000001000101101100000
311000100200210
420020231200
51021222312
6113414120
724062112
oct10105540
94010623
102132832
111227479
1286a340
13598a40
143d73b2
152c1e3c
hex208b60

2132832 has 48 divisors (see below), whose sum is σ = 6032880. Its totient is φ = 655872.

The previous prime is 2132827. The next prime is 2132839. The reversal of 2132832 is 2382312.

It is a tau number, because it is divible by the number of its divisors (48).

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 = 2132799 and 2132808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132839) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 394 + ... + 2102.

It is an arithmetic number, because the mean of its divisors is an integer number (125685).

22132832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3016440).

2132832 is an abundant number, since it is smaller than the sum of its proper divisors (3900048).

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

2132832 is a wasteful number, since it uses less digits than its factorization.

2132832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1727 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 2132832 is about 1460.4218568619. The cubic root of 2132832 is about 128.7218331572.

The spelling of 2132832 in words is "two million, one hundred thirty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 1709 3418 5127 6836 10254 13672 20508 22217 27344 41016 44434 54688 66651 82032 88868 133302 164064 177736 266604 355472 533208 710944 1066416 2132832