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29400 = 2335272
BaseRepresentation
bin111001011011000
31111022220
413023120
51420100
6344040
7151500
oct71330
944286
1029400
11200a8
1215020
13104c7
14aa00
158aa0
hex72d8

29400 has 72 divisors (see below), whose sum is σ = 106020. Its totient is φ = 6720.

The previous prime is 29399. The next prime is 29401. The reversal of 29400 is 492.

29400 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (29399) and next prime (29401).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a nialpdrome in base 14.

It is a zygodrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 29400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29401) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4197 + ... + 4203.

229400 is an apocalyptic number.

29400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53010).

29400 is an abundant number, since it is smaller than the sum of its proper divisors (76620).

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

29400 is a wasteful number, since it uses less digits than its factorization.

29400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 29400 is about 171.4642819948. The cubic root of 29400 is about 30.8637796816.

Adding to 29400 its reverse (492), we get a palindrome (29892).

The spelling of 29400 in words is "twenty-nine thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 49 50 56 60 70 75 84 98 100 105 120 140 147 150 168 175 196 200 210 245 280 294 300 350 392 420 490 525 588 600 700 735 840 980 1050 1176 1225 1400 1470 1960 2100 2450 2940 3675 4200 4900 5880 7350 9800 14700 29400