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2398000 = 245311109
BaseRepresentation
bin1001001001011100110000
311111211102211
421021130300
51103214000
6123221504
726245153
oct11113460
94454384
102398000
111398720
12977894
1365c647
14465c9a
153257ba
hex249730

2398000 has 80 divisors (see below), whose sum is σ = 6383520. Its totient is φ = 864000.

The previous prime is 2397991. The next prime is 2398001. The reversal of 2398000 is 8932.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (2398001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946 + ... + 22054.

It is an arithmetic number, because the mean of its divisors is an integer number (79794).

22398000 is an apocalyptic number.

2398000 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 2398000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191760).

2398000 is an abundant number, since it is smaller than the sum of its proper divisors (3985520).

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

2398000 is a wasteful number, since it uses less digits than its factorization.

2398000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 2398000 is about 1548.5477067239. The cubic root of 2398000 is about 133.8493889614.

The spelling of 2398000 in words is "two million, three hundred ninety-eight thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 109 110 125 176 200 218 220 250 275 400 436 440 500 545 550 872 880 1000 1090 1100 1199 1375 1744 2000 2180 2200 2398 2725 2750 4360 4400 4796 5450 5500 5995 8720 9592 10900 11000 11990 13625 19184 21800 22000 23980 27250 29975 43600 47960 54500 59950 95920 109000 119900 149875 218000 239800 299750 479600 599500 1199000 2398000