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29964 = 22311227
BaseRepresentation
bin111010100001100
31112002210
413110030
51424324
6350420
7153234
oct72414
945083
1029964
1120570
1215410
131083c
14acc4
158d29
hex750c

29964 has 24 divisors (see below), whose sum is σ = 76608. Its totient is φ = 9040.

The previous prime is 29959. The next prime is 29983. The reversal of 29964 is 46992.

Its product of digits (3888) is a multiple of the sum of its prime divisors (243).

It is an unprimeable number.

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, 19 + ... + 245.

It is an arithmetic number, because the mean of its divisors is an integer number (3192).

229964 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38304).

29964 is an abundant number, since it is smaller than the sum of its proper divisors (46644).

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

29964 is a wasteful number, since it uses less digits than its factorization.

29964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 243 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 29964 is about 173.1011265128. The cubic root of 29964 is about 31.0598911546.

It can be divided in two parts, 299 and 64, that added together give a palindrome (363).

The spelling of 29964 in words is "twenty-nine thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 227 454 681 908 1362 2497 2724 4994 7491 9988 14982 29964