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21327690 = 23517193171
BaseRepresentation
bin101000101011…
…0111101001010
31111010120002110
41101112331022
520424441230
62041043150
7346165566
oct121267512
944116073
1021327690
111104789a
1271864b6
134559847
142b926a6
151d144b0
hex1456f4a

21327690 has 128 divisors (see below), whose sum is σ = 59719680. Its totient is φ = 4838400.

The previous prime is 21327689. The next prime is 21327701. The reversal of 21327690 is 9672312.

It is a super-2 number, since 2×213276902 = 909740721472200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 300355 + ... + 300425.

It is an arithmetic number, because the mean of its divisors is an integer number (466560).

Almost surely, 221327690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21327690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29859840).

21327690 is an abundant number, since it is smaller than the sum of its proper divisors (38391990).

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

21327690 is a wasteful number, since it uses less digits than its factorization.

21327690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 21327690 is about 4618.1912043570. The cubic root of 21327690 is about 277.3200521536.

The spelling of 21327690 in words is "twenty-one million, three hundred twenty-seven thousand, six hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 19 30 31 34 38 51 57 62 71 85 93 95 102 114 142 155 170 186 190 213 255 285 310 323 355 426 465 510 527 570 589 646 710 930 969 1054 1065 1178 1207 1349 1581 1615 1767 1938 2130 2201 2414 2635 2698 2945 3162 3230 3534 3621 4047 4402 4845 5270 5890 6035 6603 6745 7242 7905 8094 8835 9690 10013 11005 12070 13206 13490 15810 17670 18105 20026 20235 22010 22933 30039 33015 36210 37417 40470 41819 45866 50065 60078 66030 68799 74834 83638 100130 112251 114665 125457 137598 150195 187085 209095 224502 229330 250914 300390 343995 374170 418190 561255 627285 687990 710923 1122510 1254570 1421846 2132769 3554615 4265538 7109230 10663845 21327690