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142402200 = 233521723607
BaseRepresentation
bin10000111110011…
…10001010011000
3100220221210002120
420133032022120
5242423332300
622044101240
73346253523
oct1037161230
9326853076
10142402200
1173422976
123b834820
132366b875
1414cabbba
15c77d3a0
hex87ce298

142402200 has 192 divisors, whose sum is σ = 488540160. Its totient is φ = 34129920.

The previous prime is 142402199. The next prime is 142402201. The reversal of 142402200 is 2204241.

It is an interprime number because it is at equal distance from previous prime (142402199) and next prime (142402201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 142402200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142402201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 234297 + ... + 234903.

It is an arithmetic number, because the mean of its divisors is an integer number (2544480).

Almost surely, 2142402200 is an apocalyptic number.

142402200 is a gapful number since it is divisible by the number (10) 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 142402200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244270080).

142402200 is an abundant number, since it is smaller than the sum of its proper divisors (346137960).

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

142402200 is a wasteful number, since it uses less digits than its factorization.

142402200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 142402200 is about 11933.2392919944. The cubic root of 142402200 is about 522.2024434606.

Adding to 142402200 its reverse (2204241), we get a palindrome (144606441).

The spelling of 142402200 in words is "one hundred forty-two million, four hundred two thousand, two hundred".