Search a number
-
+
3131466 = 2313192113
BaseRepresentation
bin1011111100100001001010
312220002120020
423330201022
51300201331
6151041310
735421432
oct13744112
95802506
103131466
111849798
121070236
13858450
145b72c2
1541cc96
hex2fc84a

3131466 has 32 divisors (see below), whose sum is σ = 7103040. Its totient is φ = 912384.

The previous prime is 3131441. The next prime is 3131467. The reversal of 3131466 is 6641313.

3131466 = 412 + 422 + ... + 2112.

3131466 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3131467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 426 + ... + 2538.

It is an arithmetic number, because the mean of its divisors is an integer number (221970).

Almost surely, 23131466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3131466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551520).

3131466 is an abundant number, since it is smaller than the sum of its proper divisors (3971574).

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

3131466 is a wasteful number, since it uses less digits than its factorization.

3131466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150.

The product of its digits is 1296, while the sum is 24.

The square root of 3131466 is about 1769.5948688895. The cubic root of 3131466 is about 146.3016531698.

Adding to 3131466 its reverse (6641313), we get a palindrome (9772779).

The spelling of 3131466 in words is "three million, one hundred thirty-one thousand, four hundred sixty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 78 114 247 494 741 1482 2113 4226 6339 12678 27469 40147 54938 80294 82407 120441 164814 240882 521911 1043822 1565733 3131466