Search a number
-
+
871586142 = 237314714243
BaseRepresentation
bin110011111100110…
…101100101011110
32020202001011102020
4303330311211132
53241111224032
6222253041010
730412234320
oct6374654536
92222034366
10871586142
11407a95629
12203a86166
1310b75865b
1483a81610
15517b7b2c
hex33f3595e

871586142 has 64 divisors (see below), whose sum is σ = 2100363264. Its totient is φ = 235847520.

The previous prime is 871586123. The next prime is 871586143. The reversal of 871586142 is 241685178.

It is a super-3 number, since 3×8715861423 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a house number.

It is a junction number, because it is equal to n+sod(n) for n = 871586094 and 871586103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (871586143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54073 + ... + 68315.

It is an arithmetic number, because the mean of its divisors is an integer number (32818176).

Almost surely, 2871586142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 871586142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050181632).

871586142 is an abundant number, since it is smaller than the sum of its proper divisors (1228777122).

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

871586142 is a wasteful number, since it uses less digits than its factorization.

871586142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14333.

The product of its digits is 107520, while the sum is 42.

The square root of 871586142 is about 29522.6377886530. The cubic root of 871586142 is about 955.2200700767.

The spelling of 871586142 in words is "eight hundred seventy-one million, five hundred eighty-six thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 14 21 31 42 47 62 93 94 141 186 217 282 329 434 651 658 987 1302 1457 1974 2914 4371 8742 10199 14243 20398 28486 30597 42729 61194 85458 99701 199402 299103 441533 598206 669421 883066 1324599 1338842 2008263 2649198 3090731 4016526 4685947 6181462 9272193 9371894 14057841 18544386 20752051 28115682 41504102 62256153 124512306 145264357 290528714 435793071 871586142