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21427120 = 24511131873
BaseRepresentation
bin101000110111…
…1001110110000
31111022121111001
41101233032300
520441131440
62043131344
7350061511
oct121571660
944277431
1021427120
1111105570
127213b54
134592b90
142bbaa08
151d33b9a
hex146f3b0

21427120 has 80 divisors (see below), whose sum is σ = 58558752. Its totient is φ = 7188480.

The previous prime is 21427103. The next prime is 21427121. The reversal of 21427120 is 2172412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (21427121) 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 15 ways as a sum of consecutive naturals, for example, 10504 + ... + 12376.

Almost surely, 221427120 is an apocalyptic number.

21427120 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 21427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29279376).

21427120 is an abundant number, since it is smaller than the sum of its proper divisors (37131632).

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

21427120 is a wasteful number, since it uses less digits than its factorization.

21427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1910 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 19.

The square root of 21427120 is about 4628.9437240044. The cubic root of 21427120 is about 277.7503408753.

Adding to 21427120 its reverse (2172412), we get a palindrome (23599532).

The spelling of 21427120 in words is "twenty-one million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 80 88 104 110 130 143 176 208 220 260 286 440 520 572 715 880 1040 1144 1430 1873 2288 2860 3746 5720 7492 9365 11440 14984 18730 20603 24349 29968 37460 41206 48698 74920 82412 97396 103015 121745 149840 164824 194792 206030 243490 267839 329648 389584 412060 486980 535678 824120 973960 1071356 1339195 1648240 1947920 2142712 2678390 4285424 5356780 10713560 21427120