Search a number
-
+
21014784 = 283271303
BaseRepresentation
bin101000000101…
…0100100000000
31110112122212100
41100022210000
520334433114
62030230400
7343423410
oct120124400
943478770
1021014784
111095379a
127055400
13447a2ab
142b10640
151ca1909
hex140a900

21014784 has 108 divisors (see below), whose sum is σ = 69299776. Its totient is φ = 5999616.

The previous prime is 21014761. The next prime is 21014803. The reversal of 21014784 is 48741012.

It is a super-2 number, since 2×210147842 = 883242293133312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15477 + ... + 16779.

Almost surely, 221014784 is an apocalyptic number.

21014784 is a gapful number since it is divisible by the number (24) 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 21014784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34649888).

21014784 is an abundant number, since it is smaller than the sum of its proper divisors (48284992).

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

21014784 is a wasteful number, since it uses less digits than its factorization.

21014784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1332 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 21014784 is about 4584.1884778006. The cubic root of 21014784 is about 275.9571452051.

Adding to 21014784 its reverse (48741012), we get a palindrome (69755796).

The spelling of 21014784 in words is "twenty-one million, fourteen thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 576 672 768 896 1008 1152 1303 1344 1792 2016 2304 2606 2688 3909 4032 5212 5376 7818 8064 9121 10424 11727 15636 16128 18242 20848 23454 27363 31272 36484 41696 46908 54726 62544 72968 82089 83392 93816 109452 125088 145936 164178 166784 187632 218904 250176 291872 328356 333568 375264 437808 500352 583744 656712 750528 875616 1000704 1167488 1313424 1501056 1751232 2334976 2626848 3002112 3502464 5253696 7004928 10507392 21014784