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21117870 = 2325415997
BaseRepresentation
bin101000010001…
…1101110101110
31110201220021100
41100203232232
520401232440
62032343530
7344333064
oct120435656
943656240
1021117870
1110a14194
1270a4ba6
1344b51a7
142b3a034
151cc2230
hex1423bae

21117870 has 96 divisors (see below), whose sum is σ = 57788640. Its totient is φ = 5345280.

The previous prime is 21117869. The next prime is 21117871. The reversal of 21117870 is 7871112.

It is an interprime number because it is at equal distance from previous prime (21117869) and next prime (21117871).

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21117871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 217662 + ... + 217758.

It is an arithmetic number, because the mean of its divisors is an integer number (601965).

Almost surely, 221117870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21117870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28894320).

21117870 is an abundant number, since it is smaller than the sum of its proper divisors (36670770).

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

21117870 is a wasteful number, since it uses less digits than its factorization.

21117870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 784, while the sum is 27.

The square root of 21117870 is about 4595.4183705077. The cubic root of 21117870 is about 276.4076364629.

Adding to 21117870 its reverse (7871112), we get a palindrome (28988982).

It can be divided in two parts, 211 and 17870, that added together give a palindrome (18081).

The spelling of 21117870 in words is "twenty-one million, one hundred seventeen thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 59 82 90 97 118 123 177 194 205 246 291 295 354 369 410 485 531 582 590 615 738 873 885 970 1062 1230 1455 1746 1770 1845 2419 2655 2910 3690 3977 4365 4838 5310 5723 7257 7954 8730 11446 11931 12095 14514 17169 19885 21771 23862 24190 28615 34338 35793 36285 39770 43542 51507 57230 59655 71586 72570 85845 103014 108855 119310 171690 178965 217710 234643 257535 357930 469286 515070 703929 1173215 1407858 2111787 2346430 3519645 4223574 7039290 10558935 21117870