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31096 = 2313223
BaseRepresentation
bin111100101111000
31120122201
413211320
51443341
6355544
7156442
oct74570
946581
1031096
11213aa
1215bb4
1311200
14b492
159331
hex7978

31096 has 24 divisors (see below), whose sum is σ = 65880. Its totient is φ = 13728.

The previous prime is 31091. The next prime is 31121. The reversal of 31096 is 69013.

It is a super-2 number, since 2×310962 = 1933922432, which contains 22 as substring.

It is a Smith number, since the sum of its digits (19) coincides with the sum of the digits of its prime factors.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31091) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1341 + ... + 1363.

It is an arithmetic number, because the mean of its divisors is an integer number (2745).

231096 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 31096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32940).

31096 is an abundant number, since it is smaller than the sum of its proper divisors (34784).

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

31096 is a wasteful number, since it uses less digits than its factorization.

31096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 19.

The square root of 31096 is about 176.3405795613. The cubic root of 31096 is about 31.4462002633.

It can be divided in two parts, 310 and 96, that added together give a triangular number (406 = T28).

The spelling of 31096 in words is "thirty-one thousand, ninety-six".

Divisors: 1 2 4 8 13 23 26 46 52 92 104 169 184 299 338 598 676 1196 1352 2392 3887 7774 15548 31096