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2125888 = 2659563
BaseRepresentation
bin1000000111000001000000
311000000011121
420013001000
51021012023
6113322024
724032632
oct10070100
94000147
102125888
111222236
12866314
1359582b
143d4a52
152bed5d
hex207040

2125888 has 28 divisors (see below), whose sum is σ = 4297680. Its totient is φ = 1043072.

The previous prime is 2125873. The next prime is 2125889. The reversal of 2125888 is 8885212.

It is a happy number.

It is a super-3 number, since 3×21258883 = 28823213333004681216, which contains 333 as substring.

It is a plaindrome in base 11.

It is not an unprimeable number, because it can be changed into a prime (2125889) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3495 + ... + 4057.

22125888 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 2125888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2148840).

2125888 is an abundant number, since it is smaller than the sum of its proper divisors (2171792).

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

2125888 is an equidigital number, since it uses as much as digits as its factorization.

2125888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 624 counting only the distinct ones).

The product of its digits is 10240, while the sum is 34.

The square root of 2125888 is about 1458.0425233854. The cubic root of 2125888 is about 128.5819852590.

The spelling of 2125888 in words is "two million, one hundred twenty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 4 8 16 32 59 64 118 236 472 563 944 1126 1888 2252 3776 4504 9008 18016 33217 36032 66434 132868 265736 531472 1062944 2125888