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31014 = 2321723
BaseRepresentation
bin111100100100110
31120112200
413210212
51443024
6355330
7156264
oct74446
946480
1031014
1121335
1215b46
1311169
14b434
1592c9
hex7926

31014 has 12 divisors (see below), whose sum is σ = 67236. Its totient is φ = 10332.

The previous prime is 31013. The next prime is 31019. The reversal of 31014 is 41013.

Adding to 31014 its reverse (41013), we get a palindrome (72027).

Subtracting 31014 from its reverse (41013), we obtain a palindrome (9999).

It can be divided in two parts, 310 and 14, that added together give a square (324 = 182).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 30987 and 31005.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 31014.

It is not an unprimeable number, because it can be changed into a prime (31013) 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, 844 + ... + 879.

It is an arithmetic number, because the mean of its divisors is an integer number (5603).

231014 is an apocalyptic number.

31014 is an abundant number, since it is smaller than the sum of its proper divisors (36222).

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

31014 is a wasteful number, since it uses less digits than its factorization.

31014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1731 (or 1728 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 31014 is about 176.1079214573. The cubic root of 31014 is about 31.4185347723.

The spelling of 31014 in words is "thirty-one thousand, fourteen".

Divisors: 1 2 3 6 9 18 1723 3446 5169 10338 15507 31014