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21110868 = 223537587
BaseRepresentation
bin101000010001…
…0000001010100
31110201112200000
41100202001110
520401021433
62032251300
7344303502
oct120420124
943645600
1021110868
1110a099a9
1270a0b30
1344b1c4c
142b37672
151cc0113
hex1422054

21110868 has 72 divisors (see below), whose sum is σ = 56932512. Its totient is φ = 6835104.

The previous prime is 21110867. The next prime is 21110879. The reversal of 21110868 is 86801112.

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 (21110861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35671 + ... + 36257.

Almost surely, 221110868 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 21110868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28466256).

21110868 is an abundant number, since it is smaller than the sum of its proper divisors (35821644).

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

21110868 is a wasteful number, since it uses less digits than its factorization.

21110868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643 (or 629 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 21110868 is about 4594.6564615867. The cubic root of 21110868 is about 276.3770838201.

It can be divided in two parts, 21 and 110868, that added together give a square (110889 = 3332).

The spelling of 21110868 in words is "twenty-one million, one hundred ten thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 243 324 333 444 486 587 666 972 999 1174 1332 1761 1998 2348 2997 3522 3996 5283 5994 7044 8991 10566 11988 15849 17982 21132 21719 31698 35964 43438 47547 63396 65157 86876 95094 130314 142641 190188 195471 260628 285282 390942 570564 586413 781884 1172826 1759239 2345652 3518478 5277717 7036956 10555434 21110868