Search a number
-
+
142520112 = 24327178317
BaseRepresentation
bin10000111111010…
…10111100110000
3100221011202211200
420133222330300
5242441120422
622050411200
73350254350
oct1037527460
9327152750
10142520112
11734a3519
123b890b00
13236b0437
1414cdcb60
15c7a32ac
hex87eaf30

142520112 has 120 divisors (see below), whose sum is σ = 482710176. Its totient is φ = 38320128.

The previous prime is 142520089. The next prime is 142520117. The reversal of 142520112 is 211025241.

142520112 is a `hidden beast` number, since 142 + 520 + 1 + 1 + 2 = 666.

142520112 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 (142520117) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12978 + ... + 21294.

Almost surely, 2142520112 is an apocalyptic number.

142520112 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 142520112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241355088).

142520112 is an abundant number, since it is smaller than the sum of its proper divisors (340190064).

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

142520112 is a wasteful number, since it uses less digits than its factorization.

142520112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8355 (or 8346 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142520112 is about 11938.1787555724. The cubic root of 142520112 is about 522.3465352127.

Adding to 142520112 its reverse (211025241), we get a palindrome (353545353).

The spelling of 142520112 in words is "one hundred forty-two million, five hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 17 18 21 24 28 34 36 42 48 51 56 63 68 72 84 102 112 119 126 136 144 153 168 204 238 252 272 306 336 357 408 476 504 612 714 816 952 1008 1071 1224 1428 1904 2142 2448 2856 4284 5712 8317 8568 16634 17136 24951 33268 49902 58219 66536 74853 99804 116438 133072 141389 149706 174657 199608 232876 282778 299412 349314 399216 424167 465752 523971 565556 598824 698628 848334 931504 989723 1047942 1131112 1197648 1272501 1397256 1696668 1979446 2095884 2262224 2545002 2794512 2969169 3393336 3958892 4191768 5090004 5938338 6786672 7917784 8383536 8907507 10180008 11876676 15835568 17815014 20360016 23753352 35630028 47506704 71260056 142520112