Search a number
-
+
31142166 = 2311312491
BaseRepresentation
bin111011011001…
…1000100010110
32011121012000120
41312303010112
530433022131
63031252410
7525463326
oct166630426
964535016
1031142166
1116640630
12a51a106
1365b4b23
1441c9286
152b02496
hex1db3116

31142166 has 48 divisors (see below), whose sum is σ = 70352064. Its totient is φ = 9114000.

The previous prime is 31142129. The next prime is 31142179. The reversal of 31142166 is 66124113.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63181 + ... + 63671.

It is an arithmetic number, because the mean of its divisors is an integer number (1465668).

Almost surely, 231142166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31142166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35176032).

31142166 is an abundant number, since it is smaller than the sum of its proper divisors (39209898).

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

31142166 is a wasteful number, since it uses less digits than its factorization.

31142166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 569 (or 538 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 31142166 is about 5580.5166427491. The cubic root of 31142166 is about 314.6175454081.

Adding to 31142166 its reverse (66124113), we get a palindrome (97266279).

The spelling of 31142166 in words is "thirty-one million, one hundred forty-two thousand, one hundred sixty-six".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 491 682 961 982 1023 1473 1922 2046 2883 2946 5401 5766 10571 10802 15221 16203 21142 30442 31713 32406 45663 63426 91326 167431 334862 471851 502293 943702 1004586 1415553 2831106 5190361 10380722 15571083 31142166