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29982 = 2319263
BaseRepresentation
bin111010100011110
31112010110
413110132
51424412
6350450
7153261
oct72436
945113
1029982
1120587
1215426
1310854
14acd8
158d3c
hex751e

29982 has 16 divisors (see below), whose sum is σ = 63360. Its totient is φ = 9432.

The previous prime is 29959. The next prime is 29983. The reversal of 29982 is 28992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29983) by changing a digit.

29982 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 18 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (3960).

229982 is an apocalyptic number.

29982 is an abundant number, since it is smaller than the sum of its proper divisors (33378).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31680).

29982 is a wasteful number, since it uses less digits than its factorization.

29982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287.

The product of its digits is 2592, while the sum is 30.

The square root of 29982 is about 173.1531114361. The cubic root of 29982 is about 31.0661093512.

Subtracting from 29982 its reverse (28992), we obtain a triangular number (990 = T44).

The spelling of 29982 in words is "twenty-nine thousand, nine hundred eighty-two".

Divisors: 1 2 3 6 19 38 57 114 263 526 789 1578 4997 9994 14991 29982