Search a number
-
+
142083438 = 23724311239
BaseRepresentation
bin10000111100000…
…00010101101110
3100220100120211120
420132000111232
5242333132223
622033201410
73343455300
oct1036002556
9326316746
10142083438
1173225432
123b700266
1323589753
1414c27970
15c718be3
hex878056e

142083438 has 48 divisors (see below), whose sum is σ = 338279040. Its totient is φ = 39647664.

The previous prime is 142083421. The next prime is 142083451. The reversal of 142083438 is 834380241.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 142083399 and 142083408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7023 + ... + 18261.

It is an arithmetic number, because the mean of its divisors is an integer number (7047480).

Almost surely, 2142083438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142083438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169139520).

142083438 is an abundant number, since it is smaller than the sum of its proper divisors (196195602).

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

142083438 is a wasteful number, since it uses less digits than its factorization.

142083438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11301 (or 11294 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 142083438 is about 11919.8757543860. The cubic root of 142083438 is about 521.8125088165.

The spelling of 142083438 in words is "one hundred forty-two million, eighty-three thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 42 43 49 86 98 129 147 258 294 301 602 903 1806 2107 4214 6321 11239 12642 22478 33717 67434 78673 157346 236019 472038 483277 550711 966554 1101422 1449831 1652133 2899662 3304266 3382939 6765878 10148817 20297634 23680573 47361146 71041719 142083438