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29330 = 257419
BaseRepresentation
bin111001010010010
31111020022
413022102
51414310
6343442
7151340
oct71222
944208
1029330
1120044
1214b82
1310472
14a990
158a55
hex7292

29330 has 16 divisors (see below), whose sum is σ = 60480. Its totient is φ = 10032.

The previous prime is 29327. The next prime is 29333. The reversal of 29330 is 3392.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (29327) and next prime (29333).

It is a Curzon number.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29299 and 29308.

It is not an unprimeable number, because it can be changed into a prime (29333) 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 7 ways as a sum of consecutive naturals, for example, 140 + ... + 279.

It is an arithmetic number, because the mean of its divisors is an integer number (3780).

229330 is an apocalyptic number.

29330 is the 140-th pentagonal number.

29330 is an abundant number, since it is smaller than the sum of its proper divisors (31150).

It is a weird number, because it is abundant, but not a pseudoperfect number.

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30240).

29330 is a wasteful number, since it uses less digits than its factorization.

29330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433.

The product of its (nonzero) digits is 162, while the sum is 17.

The square root of 29330 is about 171.2600362023. The cubic root of 29330 is about 30.8392651521.

Adding to 29330 its product of nonzero digits (162), we get a palindrome (29492).

It can be divided in two parts, 293 and 30, that added together give a palindrome (323).

The spelling of 29330 in words is "twenty-nine thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 419 838 2095 2933 4190 5866 14665 29330