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21110628 = 22371123167
BaseRepresentation
bin101000010000…
…1111101100100
31110201112100010
41100201331210
520401020003
62032250220
7344303010
oct120417544
943645303
1021110628
1110a09800
1270a0970
1344b1ac6
142b37540
151cc0003
hex1421f64

21110628 has 144 divisors (see below), whose sum is σ = 64827392. Its totient is φ = 5227200.

The previous prime is 21110611. The next prime is 21110647. The reversal of 21110628 is 82601112.

It is a super-2 number, since 2×211106282 = 891317229108768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 315051 + ... + 315117.

Almost surely, 221110628 is an apocalyptic number.

21110628 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 21110628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32413696).

21110628 is an abundant number, since it is smaller than the sum of its proper divisors (43716764).

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

21110628 is a wasteful number, since it uses less digits than its factorization.

21110628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 21110628 is about 4594.6303442170. The cubic root of 21110628 is about 276.3760364804.

The spelling of 21110628 in words is "twenty-one million, one hundred ten thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 31 33 42 44 62 66 67 77 84 93 121 124 132 134 154 186 201 217 231 242 268 308 341 363 372 402 434 462 469 484 651 682 726 737 804 847 868 924 938 1023 1302 1364 1407 1452 1474 1694 1876 2046 2077 2211 2387 2541 2604 2814 2948 3388 3751 4092 4154 4422 4774 5082 5159 5628 6231 7161 7502 8107 8308 8844 9548 10164 10318 11253 12462 14322 14539 15004 15477 16214 20636 22506 22847 24321 24924 26257 28644 29078 30954 32428 43617 45012 45694 48642 52514 56749 58156 61908 68541 78771 87234 91388 97284 105028 113498 137082 157542 159929 170247 174468 226996 251317 274164 315084 319858 340494 479787 502634 639716 680988 753951 959574 1005268 1507902 1759219 1919148 3015804 3518438 5277657 7036876 10555314 21110628