Search a number
-
+
31106768 = 2472113607
BaseRepresentation
bin111011010101…
…0011011010000
32011112101110112
41312222123100
530430404033
63030420452
7525255200
oct166523320
964471415
1031106768
1116616a80
12a501728
1365a1994
1441ba400
152ae6c48
hex1daa6d0

31106768 has 60 divisors (see below), whose sum is σ = 76504032. Its totient is φ = 12116160.

The previous prime is 31106749. The next prime is 31106771. The reversal of 31106768 is 86760113.

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 11 ways as a sum of consecutive naturals, for example, 6821 + ... + 10427.

Almost surely, 231106768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31106768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38252016).

31106768 is an abundant number, since it is smaller than the sum of its proper divisors (45397264).

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

31106768 is a wasteful number, since it uses less digits than its factorization.

31106768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3640 (or 3627 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 31106768 is about 5577.3441708397. The cubic root of 31106768 is about 314.4982960049.

The spelling of 31106768 in words is "thirty-one million, one hundred six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 49 56 77 88 98 112 154 176 196 308 392 539 616 784 1078 1232 2156 3607 4312 7214 8624 14428 25249 28856 39677 50498 57712 79354 100996 158708 176743 201992 277739 317416 353486 403984 555478 634832 706972 1110956 1413944 1944173 2221912 2827888 3888346 4443824 7776692 15553384 31106768