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21012768 = 2532721489
BaseRepresentation
bin101000000101…
…0000100100000
31110112120002200
41100022010200
520334402033
62030213200
7343414500
oct120120440
943476080
1021012768
1110952227
127054200
1344793ba
142b0da00
151ca1013
hex140a120

21012768 has 108 divisors (see below), whose sum is σ = 69557670. Its totient is φ = 5999616.

The previous prime is 21012749. The next prime is 21012773. The reversal of 21012768 is 86721012.

It can be written as a sum of positive squares in only one way, i.e., 19820304 + 1192464 = 4452^2 + 1092^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 13368 + ... + 14856.

Almost surely, 221012768 is an apocalyptic number.

21012768 is a gapful number since it is divisible by the number (28) 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 21012768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34778835).

21012768 is an abundant number, since it is smaller than the sum of its proper divisors (48544902).

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

21012768 is a wasteful number, since it uses less digits than its factorization.

21012768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1501 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 21012768 is about 4583.9685862798. The cubic root of 21012768 is about 275.9483205066.

The spelling of 21012768 in words is "twenty-one million, twelve thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 392 441 504 588 672 784 882 1008 1176 1489 1568 1764 2016 2352 2978 3528 4467 4704 5956 7056 8934 10423 11912 13401 14112 17868 20846 23824 26802 31269 35736 41692 47648 53604 62538 71472 72961 83384 93807 107208 125076 142944 145922 166768 187614 214416 218883 250152 291844 333536 375228 428832 437766 500304 583688 656649 750456 875532 1000608 1167376 1313298 1500912 1751064 2334752 2626596 3001824 3502128 5253192 7004256 10506384 21012768