Search a number
-
+
142272936 = 23341316889
BaseRepresentation
bin10000111101011…
…10100110101000
3100220201012210000
420132232212220
5242410213221
622041223000
73345204621
oct1036564650
9326635700
10142272936
1173344843
123b791a60
1323624a90
1414c76a48
15c754e26
hex87ae9a8

142272936 has 80 divisors (see below), whose sum is σ = 429174900. Its totient is φ = 43773696.

The previous prime is 142272899. The next prime is 142272937. The reversal of 142272936 is 639272241.

142272936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 110124036 + 32148900 = 10494^2 + 5670^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 142272936.

It is not an unprimeable number, because it can be changed into a prime (142272937) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 21 + ... + 16868.

Almost surely, 2142272936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142272936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214587450).

142272936 is an abundant number, since it is smaller than the sum of its proper divisors (286901964).

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

142272936 is a wasteful number, since it uses less digits than its factorization.

142272936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16920 (or 16907 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 142272936 is about 11927.8219302604. The cubic root of 142272936 is about 522.0443878227.

Subtracting from 142272936 its product of digits (36288), we obtain a cube (142236648 = 5223).

The spelling of 142272936 in words is "one hundred forty-two million, two hundred seventy-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 312 324 351 468 648 702 936 1053 1404 2106 2808 4212 8424 16889 33778 50667 67556 101334 135112 152001 202668 219557 304002 405336 439114 456003 608004 658671 878228 912006 1216008 1317342 1368009 1756456 1824012 1976013 2634684 2736018 3648024 3952026 5269368 5472036 5928039 7904052 10944072 11856078 15808104 17784117 23712156 35568234 47424312 71136468 142272936