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21311460 = 22325197601
BaseRepresentation
bin101000101001…
…0111111100100
31111002201211100
41101102333210
520423431320
62040440100
7346100352
oct121227744
944081740
1021311460
1111036685
127179030
134552341
142b8a7d2
151d0e790
hex1452fe4

21311460 has 72 divisors (see below), whose sum is σ = 65081016. Its totient is φ = 5644800.

The previous prime is 21311453. The next prime is 21311467. The reversal of 21311460 is 6411312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21311453) and next prime (21311467).

It can be written as a sum of positive squares in 4 ways, for example, as 11614464 + 9696996 = 3408^2 + 3114^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (21311467) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35160 + ... + 35760.

It is an arithmetic number, because the mean of its divisors is an integer number (903903).

Almost surely, 221311460 is an apocalyptic number.

21311460 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 21311460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32540508).

21311460 is an abundant number, since it is smaller than the sum of its proper divisors (43769556).

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

21311460 is a wasteful number, since it uses less digits than its factorization.

21311460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 813 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21311460 is about 4616.4336884656. The cubic root of 21311460 is about 277.2496890617.

Adding to 21311460 its reverse (6411312), we get a palindrome (27722772).

The spelling of 21311460 in words is "twenty-one million, three hundred eleven thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 197 394 591 601 788 985 1182 1202 1773 1803 1970 2364 2404 2955 3005 3546 3606 3940 5409 5910 6010 7092 7212 8865 9015 10818 11820 12020 17730 18030 21636 27045 35460 36060 54090 108180 118397 236794 355191 473588 591985 710382 1065573 1183970 1420764 1775955 2131146 2367940 3551910 4262292 5327865 7103820 10655730 21311460