Search a number
-
+
142735008 = 25313114371
BaseRepresentation
bin10001000000111…
…11011010100000
3100221120200121210
420200133122200
5243020010013
622055150120
73352141023
oct1040373240
9327520553
10142735008
117362aa19
123b975340
13237571b0
1414d571ba
15c7e6cc3
hex881f6a0

142735008 has 48 divisors (see below), whose sum is σ = 403504416. Its totient is φ = 43918080.

The previous prime is 142735003. The next prime is 142735027. The reversal of 142735008 is 800537241.

142735008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (142735003) 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 7 ways as a sum of consecutive naturals, for example, 55938 + ... + 58433.

It is an arithmetic number, because the mean of its divisors is an integer number (8406342).

Almost surely, 2142735008 is an apocalyptic number.

It is an amenable number.

142735008 is an abundant number, since it is smaller than the sum of its proper divisors (260769408).

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

142735008 is a wasteful number, since it uses less digits than its factorization.

142735008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114397 (or 114389 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 30.

The square root of 142735008 is about 11947.1757332016. The cubic root of 142735008 is about 522.6089398390.

The spelling of 142735008 in words is "one hundred forty-two million, seven hundred thirty-five thousand, eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 114371 228742 343113 457484 686226 914968 1372452 1486823 1829936 2744904 2973646 3659872 4460469 5489808 5947292 8920938 10979616 11894584 17841876 23789168 35683752 47578336 71367504 142735008