Search a number
-
+
142381800 = 233452111747
BaseRepresentation
bin10000111110010…
…01001011101000
3100220220202010000
420133021023220
5242422204200
622043423000
73346140201
oct1037111350
9326822100
10142381800
1173409610
123b824a60
13236624b2
1414ca45a8
15c777300
hex87c92e8

142381800 has 480 divisors, whose sum is σ = 583355520. Its totient is φ = 31795200.

The previous prime is 142381777. The next prime is 142381823. The reversal of 142381800 is 8183241.

It is an interprime number because it is at equal distance from previous prime (142381777) and next prime (142381823).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 15.

It is an unprimeable number.

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 119 ways as a sum of consecutive naturals, for example, 3029377 + ... + 3029423.

It is an arithmetic number, because the mean of its divisors is an integer number (1215324).

Almost surely, 2142381800 is an apocalyptic number.

142381800 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 142381800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291677760).

142381800 is an abundant number, since it is smaller than the sum of its proper divisors (440973720).

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

142381800 is a wasteful number, since it uses less digits than its factorization.

142381800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 142381800 is about 11932.3845060407. The cubic root of 142381800 is about 522.1775060215.

The spelling of 142381800 in words is "one hundred forty-two million, three hundred eighty-one thousand, eight hundred".