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29718 = 23213127
BaseRepresentation
bin111010000010110
31111202200
413100112
51422333
6345330
7152433
oct72026
944680
1029718
1120367
1215246
13106b0
14ab8a
158c13
hex7416

29718 has 24 divisors (see below), whose sum is σ = 69888. Its totient is φ = 9072.

The previous prime is 29717. The next prime is 29723. The reversal of 29718 is 81792.

It is a junction number, because it is equal to n+sod(n) for n = 29691 and 29700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 171 + ... + 297.

It is an arithmetic number, because the mean of its divisors is an integer number (2912).

229718 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29718, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34944).

29718 is an abundant number, since it is smaller than the sum of its proper divisors (40170).

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

29718 is a wasteful number, since it uses less digits than its factorization.

29718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 145 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 29718 is about 172.3890947827. The cubic root of 29718 is about 30.9746584434.

It can be divided in two parts, 29 and 718, that added together give a palindrome (747).

The spelling of 29718 in words is "twenty-nine thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 127 234 254 381 762 1143 1651 2286 3302 4953 9906 14859 29718