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142003200 = 210352432
BaseRepresentation
bin10000111011011…
…00110000000000
3100220012111202210
420131230300000
5242323100300
622031342120
73343002333
oct1035546000
9326174683
10142003200
1173180119
123b681940
132355c081
1414c0661a
15c700050
hex876cc00

142003200 has 198 divisors, whose sum is σ = 480496404. Its totient is φ = 36986880.

The previous prime is 142003171. The next prime is 142003223. The reversal of 142003200 is 2300241.

142003200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3302379 + ... + 3302421.

Almost surely, 2142003200 is an apocalyptic number.

142003200 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 142003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240248202).

142003200 is an abundant number, since it is smaller than the sum of its proper divisors (338493204).

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

142003200 is an equidigital number, since it uses as much as digits as its factorization.

142003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 53 counting only the distinct ones).

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

The square root of 142003200 is about 11916.5095560739. The cubic root of 142003200 is about 521.7142635491.

Multiplying 142003200 by its sum of digits (12), we get a square (1704038400 = 412802).

142003200 divided by its sum of digits (12) gives a square (11833600 = 34402).

Multiplying 142003200 by its product of nonzero digits (48), we get a square (6816153600 = 825602).

142003200 divided by its product of nonzero digits (48) gives a square (2958400 = 17202).

Adding to 142003200 its reverse (2300241), we get a palindrome (144303441).

The spelling of 142003200 in words is "one hundred forty-two million, three thousand, two hundred".