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29890 = 257261
BaseRepresentation
bin111010011000010
31112000001
413103002
51424030
6350214
7153100
oct72302
945001
1029890
1120503
121536a
13107b3
14ac70
158cca
hex74c2

29890 has 24 divisors (see below), whose sum is σ = 63612. Its totient is φ = 10080.

The previous prime is 29881. The next prime is 29917. The reversal of 29890 is 9892.

It can be divided in two parts, 29 and 890, that added together give a palindrome (919).

It is a happy number.

29890 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

29890 is a nontrivial binomial coefficient, being equal to C(245, 2).

It can be written as a sum of positive squares in 2 ways, for example, as 25921 + 3969 = 161^2 + 63^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is an alternating number because its digits alternate between even and odd.

29890 is strictly pandigital in base 6.

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 11 ways as a sum of consecutive naturals, for example, 460 + ... + 520.

229890 is an apocalyptic number.

29890 is the 244-th triangular number.

29890 is the 82-nd centered nonagonal number.

29890 is an abundant number, since it is smaller than the sum of its proper divisors (33722).

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 (31806).

29890 is a wasteful number, since it uses less digits than its factorization.

29890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The square root of 29890 is about 172.8872464932. The cubic root of 29890 is about 31.0343012619.

The spelling of 29890 in words is "twenty-nine thousand, eight hundred ninety".

Divisors: 1 2 5 7 10 14 35 49 61 70 98 122 245 305 427 490 610 854 2135 2989 4270 5978 14945 29890