Search a number
-
+
2594200 = 2352717109
BaseRepresentation
bin1001111001010110011000
311212210120111
421321112120
51131003300
6131334104
731023160
oct11712630
94783514
102594200
111512074
12a51334
136caa3b
144b75a0
153639ba
hex279598

2594200 has 96 divisors (see below), whose sum is σ = 7365600. Its totient is φ = 829440.

The previous prime is 2594167. The next prime is 2594209. The reversal of 2594200 is 24952.

It is a happy number.

2594200 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 not an unprimeable number, because it can be changed into a prime (2594209) 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 23 ways as a sum of consecutive naturals, for example, 23746 + ... + 23854.

It is an arithmetic number, because the mean of its divisors is an integer number (76725).

22594200 is an apocalyptic number.

2594200 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 2594200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3682800).

2594200 is an abundant number, since it is smaller than the sum of its proper divisors (4771400).

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

2594200 is a wasteful number, since it uses less digits than its factorization.

2594200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 2594200 is about 1610.6520418762. The cubic root of 2594200 is about 137.4045618713.

The spelling of 2594200 in words is "two million, five hundred ninety-four thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 17 20 25 28 34 35 40 50 56 68 70 85 100 109 119 136 140 170 175 200 218 238 280 340 350 425 436 476 545 595 680 700 763 850 872 952 1090 1190 1400 1526 1700 1853 2180 2380 2725 2975 3052 3400 3706 3815 4360 4760 5450 5950 6104 7412 7630 9265 10900 11900 12971 14824 15260 18530 19075 21800 23800 25942 30520 37060 38150 46325 51884 64855 74120 76300 92650 103768 129710 152600 185300 259420 324275 370600 518840 648550 1297100 2594200