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31117164 = 223131731153
BaseRepresentation
bin111011010110…
…0111101101100
32011112220201120
41312230331230
530431222124
63030540540
7525330411
oct166547554
964486646
1031117164
1116623871
12a507750
1365a6630
1441c0108
152ae9d79
hex1dacf6c

31117164 has 48 divisors (see below), whose sum is σ = 78712032. Its totient is φ = 9510912.

The previous prime is 31117153. The next prime is 31117169. The reversal of 31117164 is 46171113.

It is not an unprimeable number, because it can be changed into a prime (31117169) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26412 + ... + 27564.

It is an arithmetic number, because the mean of its divisors is an integer number (1639834).

Almost surely, 231117164 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 31117164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39356016).

31117164 is an abundant number, since it is smaller than the sum of its proper divisors (47594868).

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

31117164 is a wasteful number, since it uses less digits than its factorization.

31117164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1346 (or 1344 counting only the distinct ones).

The product of its digits is 504, while the sum is 24.

The square root of 31117164 is about 5578.2760777860. The cubic root of 31117164 is about 314.5333276109.

Adding to 31117164 its reverse (46171113), we get a palindrome (77288277).

The spelling of 31117164 in words is "thirty-one million, one hundred seventeen thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 173 346 519 692 1038 1153 2076 2249 2306 3459 4498 4612 6747 6918 8996 13494 13836 14989 26988 29978 44967 59956 89934 179868 199469 398938 598407 797876 1196814 2393628 2593097 5186194 7779291 10372388 15558582 31117164