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21317120 = 29511757
BaseRepresentation
bin101000101010…
…0011000000000
31111010000120222
41101110120000
520424121440
62040522212
7346123016
oct121243000
944100528
1021317120
111103a960
127180368
134554aa6
142b8c8b6
151d112b5
hex1454600

21317120 has 80 divisors (see below), whose sum is σ = 55831248. Its totient is φ = 7741440.

The previous prime is 21317083. The next prime is 21317129. The reversal of 21317120 is 2171312.

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 (21317129) 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 7 ways as a sum of consecutive naturals, for example, 27782 + ... + 28538.

Almost surely, 221317120 is an apocalyptic number.

21317120 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 21317120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27915624).

21317120 is an abundant number, since it is smaller than the sum of its proper divisors (34514128).

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

21317120 is an equidigital number, since it uses as much as digits as its factorization.

21317120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 17.

The square root of 21317120 is about 4617.0466750944. The cubic root of 21317120 is about 277.2742313242.

Adding to 21317120 its reverse (2171312), we get a palindrome (23488432).

The spelling of 21317120 in words is "twenty-one million, three hundred seventeen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 757 880 1280 1408 1514 1760 2560 2816 3028 3520 3785 5632 6056 7040 7570 8327 12112 14080 15140 16654 24224 28160 30280 33308 41635 48448 60560 66616 83270 96896 121120 133232 166540 193792 242240 266464 333080 387584 484480 532928 666160 968960 1065856 1332320 1937920 2131712 2664640 4263424 5329280 10658560 21317120