Search a number
-
+
2148500 = 22534297
BaseRepresentation
bin1000001100100010010100
311001011012002
420030202110
51022223000
6114014432
724155564
oct10144224
94034162
102148500
111238222
12877418
135a2c03
143dcda4
152c68d5
hex20c894

2148500 has 24 divisors (see below), whose sum is σ = 4693416. Its totient is φ = 859200.

The previous prime is 2148491. The next prime is 2148527. The reversal of 2148500 is 58412.

It can be written as a sum of positive squares in 4 ways, for example, as 80656 + 2067844 = 284^2 + 1438^2 .

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

It is a congruent number.

It is an unprimeable number.

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, 1649 + ... + 2648.

It is an arithmetic number, because the mean of its divisors is an integer number (195559).

22148500 is an apocalyptic number.

2148500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2148500 is an abundant number, since it is smaller than the sum of its proper divisors (2544916).

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

2148500 is a wasteful number, since it uses less digits than its factorization.

2148500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4316 (or 4304 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 2148500 is about 1465.7762448614. The cubic root of 2148500 is about 129.0362656685.

The spelling of 2148500 in words is "two million, one hundred forty-eight thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 4297 8594 17188 21485 42970 85940 107425 214850 429700 537125 1074250 2148500