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BaseRepresentation
bin111010001111100
31111220110
413101330
51423240
6350020
7152640
oct72174
944813
1029820
112044a
1215310
131075b
14ac20
158c80
hex747c

29820 has 48 divisors (see below), whose sum is σ = 96768. Its totient is φ = 6720.

The previous prime is 29819. The next prime is 29833. The reversal of 29820 is 2892.

It is a Harshad number since it is a multiple of its sum of digits (21).

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 29820.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 385 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (2016).

229820 is an apocalyptic number.

29820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48384).

29820 is an abundant number, since it is smaller than the sum of its proper divisors (66948).

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

29820 is a wasteful number, since it uses less digits than its factorization.

29820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 29820 is about 172.6846837447. The cubic root of 29820 is about 31.0100557042.

The spelling of 29820 in words is "twenty-nine thousand, eight hundred twenty".