Search a number
-
+
142242912 = 2533729811
BaseRepresentation
bin10000111101001…
…11010001100000
3100220122200121000
420132213101200
5242403233122
622040432000
73345021240
oct1036472140
9326580530
10142242912
1173324229
123b778600
1323614206
1414c69b20
15c74b0ac
hex87a7460

142242912 has 192 divisors, whose sum is σ = 491097600. Its totient is φ = 39191040.

The previous prime is 142242901. The next prime is 142242913. The reversal of 142242912 is 219242241.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142242913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 174987 + ... + 175797.

It is an arithmetic number, because the mean of its divisors is an integer number (2557800).

Almost surely, 2142242912 is an apocalyptic number.

142242912 is a gapful number since it is divisible by the number (12) 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 142242912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245548800).

142242912 is an abundant number, since it is smaller than the sum of its proper divisors (348854688).

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

142242912 is a wasteful number, since it uses less digits than its factorization.

142242912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 852 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 142242912 is about 11926.5632937573. The cubic root of 142242912 is about 522.0076627228.

The spelling of 142242912 in words is "one hundred forty-two million, two hundred forty-two thousand, nine hundred twelve".