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31006 = 237419
BaseRepresentation
bin111100100011110
31120112101
413210132
51443011
6355314
7156253
oct74436
946471
1031006
1121328
1215b3a
1311161
14b42a
1592c1
hex791e

31006 has 8 divisors (see below), whose sum is σ = 47880. Its totient is φ = 15048.

The previous prime is 30983. The next prime is 31013. The reversal of 31006 is 60013.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×310062 = 1922744072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30983 and 31001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 136 + ... + 283.

It is an arithmetic number, because the mean of its divisors is an integer number (5985).

231006 is an apocalyptic number.

31006 is a deficient number, since it is larger than the sum of its proper divisors (16874).

31006 is a wasteful number, since it uses less digits than its factorization.

31006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458.

The product of its (nonzero) digits is 18, while the sum is 10.

The square root of 31006 is about 176.0852066472. The cubic root of 31006 is about 31.4158330904.

Adding to 31006 its reverse (60013), we get a palindrome (91019).

The spelling of 31006 in words is "thirty-one thousand, six".

Divisors: 1 2 37 74 419 838 15503 31006