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2832500 = 225411103
BaseRepresentation
bin1010110011100001110100
312022220110102
422303201310
51211120000
6140413232
733035006
oct12634164
95286412
102832500
111665110
12b47218
13782348
1453a376
153ae3d5
hex2b3874

2832500 has 60 divisors (see below), whose sum is σ = 6822816. Its totient is φ = 1020000.

The previous prime is 2832491. The next prime is 2832503. The reversal of 2832500 is 52382.

2832500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2832503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27449 + ... + 27551.

22832500 is an apocalyptic number.

2832500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2832500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3411408).

2832500 is an abundant number, since it is smaller than the sum of its proper divisors (3990316).

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

2832500 is a wasteful number, since it uses less digits than its factorization.

2832500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 2832500 is about 1683.0032679707. The cubic root of 2832500 is about 141.4892049351.

Adding to 2832500 its reverse (52382), we get a palindrome (2884882).

The spelling of 2832500 in words is "two million, eight hundred thirty-two thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 103 110 125 206 220 250 275 412 500 515 550 625 1030 1100 1133 1250 1375 2060 2266 2500 2575 2750 4532 5150 5500 5665 6875 10300 11330 12875 13750 22660 25750 27500 28325 51500 56650 64375 113300 128750 141625 257500 283250 566500 708125 1416250 2832500