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2300142 = 231337797
BaseRepresentation
bin1000110001100011101110
311022212012110
420301203232
51042101032
6121144450
725356645
oct10614356
94285173
102300142
111331149
1292b126
13626c40
1443c35c
153067cc
hex2318ee

2300142 has 32 divisors (see below), whose sum is σ = 5094432. Its totient is φ = 687744.

The previous prime is 2300131. The next prime is 2300143. The reversal of 2300142 is 2410032.

2300142 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 (2300143) 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 15 ways as a sum of consecutive naturals, for example, 2488 + ... + 3284.

It is an arithmetic number, because the mean of its divisors is an integer number (159201).

22300142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2300142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2547216).

2300142 is an abundant number, since it is smaller than the sum of its proper divisors (2794290).

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

2300142 is a wasteful number, since it uses less digits than its factorization.

2300142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852.

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2300142 is about 1516.6219041013. The cubic root of 2300142 is about 132.0033286580.

Adding to 2300142 its reverse (2410032), we get a palindrome (4710174).

It can be divided in two parts, 2300 and 142, that added together give a palindrome (2442).

The spelling of 2300142 in words is "two million, three hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 797 962 1443 1594 2391 2886 4782 10361 20722 29489 31083 58978 62166 88467 176934 383357 766714 1150071 2300142