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29860 = 2251493
BaseRepresentation
bin111010010100100
31111221221
413102210
51423420
6350124
7153025
oct72244
944857
1029860
1120486
1215344
131078c
14ac4c
158caa
hex74a4

29860 has 12 divisors (see below), whose sum is σ = 62748. Its totient is φ = 11936.

The previous prime is 29851. The next prime is 29863. The reversal of 29860 is 6892.

29860 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 19044 + 10816 = 138^2 + 104^2 .

29860 is strictly pandigital in base 6.

It is not an unprimeable number, because it can be changed into a prime (29863) 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 3 ways as a sum of consecutive naturals, for example, 727 + ... + 766.

It is an arithmetic number, because the mean of its divisors is an integer number (5229).

229860 is an apocalyptic number.

29860 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29860 is an abundant number, since it is smaller than the sum of its proper divisors (32888).

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 (31374).

29860 is a wasteful number, since it uses less digits than its factorization.

29860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1502 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 29860 is about 172.8004629623. The cubic root of 29860 is about 31.0239149488.

The spelling of 29860 in words is "twenty-nine thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 20 1493 2986 5972 7465 14930 29860