Search a number
-
+
4142300 = 2252231801
BaseRepresentation
bin1111110011010011011100
321210110011112
433303103130
52030023200
6224441152
750131451
oct17632334
97713145
104142300
11237a198
1214791b8
13b20586
1479b828
1556c535
hex3f34dc

4142300 has 36 divisors (see below), whose sum is σ = 9384816. Its totient is φ = 1584000.

The previous prime is 4142297. The next prime is 4142309. The reversal of 4142300 is 32414.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4142309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1400 + ... + 3200.

Almost surely, 24142300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4142300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692408).

4142300 is an abundant number, since it is smaller than the sum of its proper divisors (5242516).

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

4142300 is a wasteful number, since it uses less digits than its factorization.

4142300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1838 (or 1831 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4142300 is about 2035.2641106254. The cubic root of 4142300 is about 160.6006072059.

Adding to 4142300 its reverse (32414), we get a palindrome (4174714).

The spelling of 4142300 in words is "four million, one hundred forty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 1801 2300 3602 7204 9005 18010 36020 41423 45025 82846 90050 165692 180100 207115 414230 828460 1035575 2071150 4142300