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29124 = 2232809
BaseRepresentation
bin111000111000100
31110221200
413013010
51412444
6342500
7150624
oct70704
943850
1029124
111a977
1214a30
1310344
14a884
158969
hex71c4

29124 has 18 divisors (see below), whose sum is σ = 73710. Its totient is φ = 9696.

The previous prime is 29123. The next prime is 29129. The reversal of 29124 is 42192.

It can be written as a sum of positive squares in only one way, i.e., 28224 + 900 = 168^2 + 30^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a nialpdrome in base 14.

It is a junction number, because it is equal to n+sod(n) for n = 29097 and 29106.

It is not an unprimeable number, because it can be changed into a prime (29123) 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 5 ways as a sum of consecutive naturals, for example, 369 + ... + 440.

It is an arithmetic number, because the mean of its divisors is an integer number (4095).

229124 is an apocalyptic number.

It is an amenable number.

29124 is an abundant number, since it is smaller than the sum of its proper divisors (44586).

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

29124 is a wasteful number, since it uses less digits than its factorization.

29124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819 (or 814 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 29124 is about 170.6575518399. The cubic root of 29124 is about 30.7668953356.

It can be divided in two parts, 2912 and 4, that added together give a square (2916 = 542).

The spelling of 29124 in words is "twenty-nine thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 809 1618 2427 3236 4854 7281 9708 14562 29124