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21186312 = 2337235483
BaseRepresentation
bin101000011010…
…0011100001000
31110212101011020
41100310130020
520410430222
62034032440
7345036450
oct120643410
943771136
1021186312
1110a60654
127118720
13450a3a4
142b56d60
151cd765c
hex1434708

21186312 has 64 divisors (see below), whose sum is σ = 63175680. Its totient is φ = 5788992.

The previous prime is 21186307. The next prime is 21186343. The reversal of 21186312 is 21368112.

It is a super-2 number, since 2×211863122 = 897719632322688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 1123 + ... + 6605.

It is an arithmetic number, because the mean of its divisors is an integer number (987120).

Almost surely, 221186312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21186312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31587840).

21186312 is an abundant number, since it is smaller than the sum of its proper divisors (41989368).

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

21186312 is a wasteful number, since it uses less digits than its factorization.

21186312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5522 (or 5518 counting only the distinct ones).

The product of its digits is 576, while the sum is 24.

The square root of 21186312 is about 4602.8591114654. The cubic root of 21186312 is about 276.7059223987.

The spelling of 21186312 in words is "twenty-one million, one hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 5483 10966 16449 21932 32898 38381 43864 65796 76762 115143 126109 131592 153524 230286 252218 307048 378327 460572 504436 756654 882763 921144 1008872 1513308 1765526 2648289 3026616 3531052 5296578 7062104 10593156 21186312