Search a number
-
+
2313800 = 235223503
BaseRepresentation
bin1000110100111001001000
311100112221022
420310321020
51043020200
6121332012
725444526
oct10647110
94315838
102313800
111340435
12937008
13630218
14443316
1530a885
hex234e48

2313800 has 48 divisors (see below), whose sum is σ = 5624640. Its totient is φ = 883520.

The previous prime is 2313799. The next prime is 2313827. The reversal of 2313800 is 83132.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4349 + ... + 4851.

It is an arithmetic number, because the mean of its divisors is an integer number (117180).

22313800 is an apocalyptic number.

2313800 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 2313800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812320).

2313800 is an abundant number, since it is smaller than the sum of its proper divisors (3310840).

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

2313800 is a wasteful number, since it uses less digits than its factorization.

2313800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 542 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2313800 is about 1521.1180098861. The cubic root of 2313800 is about 132.2640871545.

Adding to 2313800 its reverse (83132), we get a palindrome (2396932).

It can be divided in two parts, 2313 and 800, that added together give a palindrome (3113).

The spelling of 2313800 in words is "two million, three hundred thirteen thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 184 200 230 460 503 575 920 1006 1150 2012 2300 2515 4024 4600 5030 10060 11569 12575 20120 23138 25150 46276 50300 57845 92552 100600 115690 231380 289225 462760 578450 1156900 2313800