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21012264 = 23337131069
BaseRepresentation
bin101000000100…
…1111100101000
31110112112102000
41100021330220
520334343024
62030211000
7343413150
oct120117450
943475360
1021012264
1110951909
127053a60
1344790c0
142b0d760
151ca0cc9
hex1409f28

21012264 has 128 divisors (see below), whose sum is σ = 71904000. Its totient is φ = 5536512.

The previous prime is 21012259. The next prime is 21012281. The reversal of 21012264 is 46221012.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19122 + ... + 20190.

It is an arithmetic number, because the mean of its divisors is an integer number (561750).

Almost surely, 221012264 is an apocalyptic number.

21012264 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 21012264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35952000).

21012264 is an abundant number, since it is smaller than the sum of its proper divisors (50891736).

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

21012264 is a wasteful number, since it uses less digits than its factorization.

21012264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1104 (or 1094 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 21012264 is about 4583.9136117514. The cubic root of 21012264 is about 275.9461142438.

Adding to 21012264 its reverse (46221012), we get a palindrome (67233276).

The spelling of 21012264 in words is "twenty-one million, twelve thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 27 28 36 39 42 52 54 56 63 72 78 84 91 104 108 117 126 156 168 182 189 216 234 252 273 312 351 364 378 468 504 546 702 728 756 819 936 1069 1092 1404 1512 1638 2138 2184 2457 2808 3207 3276 4276 4914 6414 6552 7483 8552 9621 9828 12828 13897 14966 19242 19656 22449 25656 27794 28863 29932 38484 41691 44898 55588 57726 59864 67347 76968 83382 89796 97279 111176 115452 125073 134694 166764 179592 194558 202041 230904 250146 269388 291837 333528 375219 389116 404082 500292 538776 583674 750438 778232 808164 875511 1000584 1167348 1500876 1616328 1751022 2334696 2626533 3001752 3502044 5253066 7004088 10506132 21012264