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29134000 = 245372081
BaseRepresentation
bin110111100100…
…0110010110000
32000211011100001
41233020302300
524424242000
62520235344
7502430530
oct157106260
960734301
1029134000
1115499895
12990bb54
136060a6c
143c254c0
15285746a
hex1bc8cb0

29134000 has 80 divisors (see below), whose sum is σ = 80548416. Its totient is φ = 9984000.

The previous prime is 29133991. The next prime is 29134003. The reversal of 29134000 is 43192.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29134003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12960 + ... + 15040.

Almost surely, 229134000 is an apocalyptic number.

29134000 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 29134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40274208).

29134000 is an abundant number, since it is smaller than the sum of its proper divisors (51414416).

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

29134000 is a wasteful number, since it uses less digits than its factorization.

29134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2111 (or 2095 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

The square root of 29134000 is about 5397.5920557226. The cubic root of 29134000 is about 307.7041630048.

Adding to 29134000 its reverse (43192), we get a palindrome (29177192).

The spelling of 29134000 in words is "twenty-nine million, one hundred thirty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 125 140 175 200 250 280 350 400 500 560 700 875 1000 1400 1750 2000 2081 2800 3500 4162 7000 8324 10405 14000 14567 16648 20810 29134 33296 41620 52025 58268 72835 83240 104050 116536 145670 166480 208100 233072 260125 291340 364175 416200 520250 582680 728350 832400 1040500 1165360 1456700 1820875 2081000 2913400 3641750 4162000 5826800 7283500 14567000 29134000