[go: up one dir, main page]

Search a number
-
+
142340112 = 24331671973
BaseRepresentation
bin10000111101111…
…11000000010000
3100220211121221000
420132333000100
5242414340422
622042502000
73345604515
oct1036770020
9326747830
10142340112
1173390262
123b804900
1323649525
1414c9330c
15c769cac
hex87bf010

142340112 has 80 divisors (see below), whose sum is σ = 411223680. Its totient is φ = 47138688.

The previous prime is 142340089. The next prime is 142340113. The reversal of 142340112 is 211043241.

142340112 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 (18).

It is not an unprimeable number, because it can be changed into a prime (142340113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71158 + ... + 73130.

It is an arithmetic number, because the mean of its divisors is an integer number (5140296).

Almost surely, 2142340112 is an apocalyptic number.

142340112 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 142340112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205611840).

142340112 is an abundant number, since it is smaller than the sum of its proper divisors (268883568).

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

142340112 is a wasteful number, since it uses less digits than its factorization.

142340112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2157 (or 2145 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 142340112 is about 11930.6375353541. The cubic root of 142340112 is about 522.1265382228.

Adding to 142340112 its reverse (211043241), we get a palindrome (353383353).

The spelling of 142340112 in words is "one hundred forty-two million, three hundred forty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 167 216 334 432 501 668 1002 1336 1503 1973 2004 2672 3006 3946 4008 4509 5919 6012 7892 8016 9018 11838 12024 15784 17757 18036 23676 24048 31568 35514 36072 47352 53271 71028 72144 94704 106542 142056 213084 284112 329491 426168 658982 852336 988473 1317964 1976946 2635928 2965419 3953892 5271856 5930838 7907784 8896257 11861676 15815568 17792514 23723352 35585028 47446704 71170056 142340112