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142542400 = 26527111389
BaseRepresentation
bin10000111111100…
…00011001000000
3100221012220102011
420133300121000
5242442324100
622051102304
73350406340
oct1037603100
9327186364
10142542400
1173509240
123b8a1994
13236ba620
1414d06d20
15c7a9bba
hex87f0640

142542400 has 336 divisors, whose sum is σ = 476219520. Its totient is φ = 40550400.

The previous prime is 142542347. The next prime is 142542403. The reversal of 142542400 is 4245241.

It is a happy number.

142542400 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 (22).

It is not an unprimeable number, because it can be changed into a prime (142542403) 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 47 ways as a sum of consecutive naturals, for example, 1601556 + ... + 1601644.

It is an arithmetic number, because the mean of its divisors is an integer number (1417320).

Almost surely, 2142542400 is an apocalyptic number.

142542400 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 142542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238109760).

142542400 is an abundant number, since it is smaller than the sum of its proper divisors (333677120).

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

142542400 is a wasteful number, since it uses less digits than its factorization.

142542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 142542400 is about 11939.1121947991. The cubic root of 142542400 is about 522.3737628383.

Adding to 142542400 its reverse (4245241), we get a palindrome (146787641).

The spelling of 142542400 in words is "one hundred forty-two million, five hundred forty-two thousand, four hundred".