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2133500 = 225317251
BaseRepresentation
bin1000001000110111111100
311000101121112
420020313330
51021233000
6113421152
724064055
oct10106774
94011545
102133500
111227a26
1286a7b8
13599135
143d772c
152c2235
hex208dfc

2133500 has 48 divisors (see below), whose sum is σ = 4953312. Its totient is φ = 800000.

The previous prime is 2133487. The next prime is 2133533. The reversal of 2133500 is 53312.

2133500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8375 + ... + 8625.

It is an arithmetic number, because the mean of its divisors is an integer number (103194).

22133500 is an apocalyptic number.

2133500 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 2133500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476656).

2133500 is an abundant number, since it is smaller than the sum of its proper divisors (2819812).

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

2133500 is a wasteful number, since it uses less digits than its factorization.

2133500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 14.

The square root of 2133500 is about 1460.6505399992. The cubic root of 2133500 is about 128.7352702538.

Adding to 2133500 its reverse (53312), we get a palindrome (2186812).

The spelling of 2133500 in words is "two million, one hundred thirty-three thousand, five hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 125 170 250 251 340 425 500 502 850 1004 1255 1700 2125 2510 4250 4267 5020 6275 8500 8534 12550 17068 21335 25100 31375 42670 62750 85340 106675 125500 213350 426700 533375 1066750 2133500