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21427112 = 2372471163
BaseRepresentation
bin101000110111…
…1001110101000
31111022121110202
41101233032220
520441131422
62043131332
7350061500
oct121571650
944277422
1021427112
1111105563
127213b48
134592b85
142bbaa00
151d33b92
hex146f3a8

21427112 has 48 divisors (see below), whose sum is σ = 47770560. Its totient is φ = 8979936.

The previous prime is 21427103. The next prime is 21427121. The reversal of 21427112 is 21172412.

It is an interprime number because it is at equal distance from previous prime (21427103) and next prime (21427121).

It is a super-2 number, since 2×214271122 = 918242257321088, which contains 22 as substring.

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

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 17843 + ... + 19005.

It is an arithmetic number, because the mean of its divisors is an integer number (995220).

Almost surely, 221427112 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 21427112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23885280).

21427112 is an abundant number, since it is smaller than the sum of its proper divisors (26343448).

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

21427112 is a wasteful number, since it uses less digits than its factorization.

21427112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1230 (or 1219 counting only the distinct ones).

The product of its digits is 224, while the sum is 20.

The square root of 21427112 is about 4628.9428598763. The cubic root of 21427112 is about 277.7503063084.

Adding to 21427112 its reverse (21172412), we get a palindrome (42599524).

The spelling of 21427112 in words is "twenty-one million, four hundred twenty-seven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 49 56 94 98 188 196 329 376 392 658 1163 1316 2303 2326 2632 4606 4652 8141 9212 9304 16282 18424 32564 54661 56987 65128 109322 113974 218644 227948 382627 437288 455896 765254 1530508 2678389 3061016 5356778 10713556 21427112