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21344160 = 253553839
BaseRepresentation
bin101000101101…
…0111110100000
31111011101200110
41101122332200
520431003120
62041251320
7346264605
oct121327640
944141613
1021344160
1111059202
127193b40
1345641a6
142b986ac
151d192e0
hex145afa0

21344160 has 96 divisors (see below), whose sum is σ = 68584320. Its totient is φ = 5577728.

The previous prime is 21344159. The next prime is 21344173. The reversal of 21344160 is 6144312.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×213441602 = 911146332211200, which contains 22 as substring.

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, 25021 + ... + 25859.

It is an arithmetic number, because the mean of its divisors is an integer number (714420).

Almost surely, 221344160 is an apocalyptic number.

21344160 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 21344160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34292160).

21344160 is an abundant number, since it is smaller than the sum of its proper divisors (47240160).

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

21344160 is a wasteful number, since it uses less digits than its factorization.

21344160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 902 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 21344160 is about 4619.9740259010. The cubic root of 21344160 is about 277.3914192519.

Adding to 21344160 its reverse (6144312), we get a palindrome (27488472).

The spelling of 21344160 in words is "twenty-one million, three hundred forty-four thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 53 60 80 96 106 120 159 160 212 240 265 318 424 480 530 636 795 839 848 1060 1272 1590 1678 1696 2120 2517 2544 3180 3356 4195 4240 5034 5088 6360 6712 8390 8480 10068 12585 12720 13424 16780 20136 25170 25440 26848 33560 40272 44467 50340 67120 80544 88934 100680 133401 134240 177868 201360 222335 266802 355736 402720 444670 533604 667005 711472 889340 1067208 1334010 1422944 1778680 2134416 2668020 3557360 4268832 5336040 7114720 10672080 21344160