Search a number
-
+
142245432 = 233272231753
BaseRepresentation
bin10000111101001…
…11111000111000
3100220122211001100
420132213320320
5242403323212
622040451400
73345031500
oct1036477070
9326584040
10142245432
117332610a
123b779b60
13236153c4
1414c6aa00
15c74bbdc
hex87a7e38

142245432 has 144 divisors (see below), whose sum is σ = 467897040. Its totient is φ = 38852352.

The previous prime is 142245431. The next prime is 142245451. The reversal of 142245432 is 234542241.

142245432 is a `hidden beast` number, since 1 + 4 + 224 + 5 + 432 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 142245396 and 142245405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142245431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 80268 + ... + 82020.

It is an arithmetic number, because the mean of its divisors is an integer number (3249285).

Almost surely, 2142245432 is an apocalyptic number.

142245432 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 142245432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233948520).

142245432 is an abundant number, since it is smaller than the sum of its proper divisors (325651608).

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

142245432 is a wasteful number, since it uses less digits than its factorization.

142245432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 1788 counting only the distinct ones).

The product of its digits is 7680, while the sum is 27.

The square root of 142245432 is about 11926.6689398172. The cubic root of 142245432 is about 522.0107453639.

Adding to 142245432 its reverse (234542241), we get a palindrome (376787673).

The spelling of 142245432 in words is "one hundred forty-two million, two hundred forty-five thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 28 36 42 46 49 56 63 69 72 84 92 98 126 138 147 161 168 184 196 207 252 276 294 322 392 414 441 483 504 552 588 644 828 882 966 1127 1176 1288 1449 1656 1753 1764 1932 2254 2898 3381 3506 3528 3864 4508 5259 5796 6762 7012 9016 10143 10518 11592 12271 13524 14024 15777 20286 21036 24542 27048 31554 36813 40319 40572 42072 49084 63108 73626 80638 81144 85897 98168 110439 120957 126216 147252 161276 171794 220878 241914 257691 282233 294504 322552 343588 362871 441756 483828 515382 564466 687176 725742 773073 846699 883512 967656 1030764 1128932 1451484 1546146 1693398 1975631 2061528 2257864 2540097 2902968 3092292 3386796 3951262 5080194 5926893 6184584 6773592 7902524 10160388 11853786 15805048 17780679 20320776 23707572 35561358 47415144 71122716 142245432