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BaseRepresentation
bin1001000000111100000100
311110001121201
421000330010
51101110030
6122352244
726041423
oct11007404
94401551
102363140
11137450a
1295b684
13649810
144572ba
1531a2ca
hex240f04

2363140 has 48 divisors (see below), whose sum is σ = 5468400. Its totient is φ = 852480.

The previous prime is 2363107. The next prime is 2363149. The reversal of 2363140 is 413632.

It can be written as a sum of positive squares in 8 ways, for example, as 1183744 + 1179396 = 1088^2 + 1086^2 .

It is not an unprimeable number, because it can be changed into a prime (2363149) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 15786 + ... + 15934.

It is an arithmetic number, because the mean of its divisors is an integer number (113925).

22363140 is an apocalyptic number.

2363140 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 2363140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734200).

2363140 is an abundant number, since it is smaller than the sum of its proper divisors (3105260).

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

2363140 is a wasteful number, since it uses less digits than its factorization.

2363140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

The square root of 2363140 is about 1537.2507928116. The cubic root of 2363140 is about 133.1976258118.

Adding to 2363140 its reverse (413632), we get a palindrome (2776772).

The spelling of 2363140 in words is "two million, three hundred sixty-three thousand, one hundred forty".