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21020688 = 24331319197
BaseRepresentation
bin101000000110…
…0000000010000
31110112221222000
41100030000100
520340130223
62030314000
7343446543
oct120140020
943487860
1021020688
1110958177
127058900
13447cba0
142b1285a
151ca3543
hex140c010

21020688 has 160 divisors (see below), whose sum is σ = 68745600. Its totient is φ = 6096384.

The previous prime is 21020683. The next prime is 21020719. The reversal of 21020688 is 88602012.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21020683) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106606 + ... + 106802.

It is an arithmetic number, because the mean of its divisors is an integer number (429660).

Almost surely, 221020688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21020688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34372800).

21020688 is an abundant number, since it is smaller than the sum of its proper divisors (47724912).

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

21020688 is a wasteful number, since it uses less digits than its factorization.

21020688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 21020688 is about 4584.8323851587. The cubic root of 21020688 is about 275.9829857186.

The spelling of 21020688 in words is "twenty-one million, twenty thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 19 24 26 27 36 38 39 48 52 54 57 72 76 78 104 108 114 117 144 152 156 171 197 208 216 228 234 247 304 312 342 351 394 432 456 468 494 513 591 624 684 702 741 788 912 936 988 1026 1182 1368 1404 1482 1576 1773 1872 1976 2052 2223 2364 2561 2736 2808 2964 3152 3546 3743 3952 4104 4446 4728 5122 5319 5616 5928 6669 7092 7486 7683 8208 8892 9456 10244 10638 11229 11856 13338 14184 14972 15366 17784 20488 21276 22458 23049 26676 28368 29944 30732 33687 35568 40976 42552 44916 46098 48659 53352 59888 61464 67374 69147 85104 89832 92196 97318 101061 106704 122928 134748 138294 145977 179664 184392 194636 202122 269496 276588 291954 368784 389272 404244 437931 538992 553176 583908 778544 808488 875862 1106352 1167816 1313793 1616976 1751724 2335632 2627586 3503448 5255172 7006896 10510344 21020688