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21836000 = 255353103
BaseRepresentation
bin101001101001…
…1000011100000
31112002101100202
41103103003200
521042223000
62100004332
7353413544
oct123230340
945071322
1021836000
111136478a
1273906a8
1346a7014
142c85a24
151db4dd5
hex14d30e0

21836000 has 96 divisors (see below), whose sum is σ = 55194048. Its totient is φ = 8486400.

The previous prime is 21835981. The next prime is 21836011. The reversal of 21836000 is 63812.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 211949 + ... + 212051.

It is an arithmetic number, because the mean of its divisors is an integer number (574938).

Almost surely, 221836000 is an apocalyptic number.

21836000 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 21836000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27597024).

21836000 is an abundant number, since it is smaller than the sum of its proper divisors (33358048).

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

21836000 is a wasteful number, since it uses less digits than its factorization.

21836000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 21836000 is about 4672.9005981296. The cubic root of 21836000 is about 279.5059314348.

Adding to 21836000 its reverse (63812), we get a palindrome (21899812).

The spelling of 21836000 in words is "twenty-one million, eight hundred thirty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 80 100 103 106 125 160 200 206 212 250 265 400 412 424 500 515 530 800 824 848 1000 1030 1060 1325 1648 1696 2000 2060 2120 2575 2650 3296 4000 4120 4240 5150 5300 5459 6625 8240 8480 10300 10600 10918 12875 13250 16480 20600 21200 21836 25750 26500 27295 41200 42400 43672 51500 53000 54590 82400 87344 103000 106000 109180 136475 174688 206000 212000 218360 272950 412000 436720 545900 682375 873440 1091800 1364750 2183600 2729500 4367200 5459000 10918000 21836000