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2132328 = 2331141197
BaseRepresentation
bin1000001000100101101000
311000100000010
420020211220
51021213303
6113411520
724060462
oct10104550
94010003
102132328
111227060
12869ba0
13598743
143d7132
152c1c03
hex208968

2132328 has 64 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 627200.

The previous prime is 2132323. The next prime is 2132359. The reversal of 2132328 is 8232312.

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

It is not an unprimeable number, because it can be changed into a prime (2132321) 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 15 ways as a sum of consecutive naturals, for example, 10726 + ... + 10922.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

22132328 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 2132328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2132328 is an abundant number, since it is smaller than the sum of its proper divisors (3855192).

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

2132328 is a wasteful number, since it uses less digits than its factorization.

2132328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

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

The square root of 2132328 is about 1460.2492937851. The cubic root of 2132328 is about 128.7116931313.

The spelling of 2132328 in words is "two million, one hundred thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 197 246 264 328 394 451 492 591 788 902 984 1182 1353 1576 1804 2167 2364 2706 3608 4334 4728 5412 6501 8077 8668 10824 13002 16154 17336 24231 26004 32308 48462 52008 64616 88847 96924 177694 193848 266541 355388 533082 710776 1066164 2132328