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21220680 = 23351361223
BaseRepresentation
bin101000011110…
…0110101001000
31110221010022010
41100330311020
520413030210
62034455520
7345241605
oct120746510
943833263
1021220680
1110a84458
1271345a0
13451cc20
142b656ac
151ce2920
hex143cd48

21220680 has 128 divisors (see below), whose sum is σ = 69995520. Its totient is φ = 5114880.

The previous prime is 21220649. The next prime is 21220687. The reversal of 21220680 is 8602212.

It is not an unprimeable number, because it can be changed into a prime (21220687) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 95049 + ... + 95271.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 221220680 is an apocalyptic number.

21220680 is a gapful number since it is divisible by the number (20) 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 21220680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34997760).

21220680 is an abundant number, since it is smaller than the sum of its proper divisors (48774840).

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

21220680 is a wasteful number, since it uses less digits than its factorization.

21220680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 21220680 is about 4606.5909303953. The cubic root of 21220680 is about 276.8554637874.

Adding to 21220680 its reverse (8602212), we get a palindrome (29822892).

The spelling of 21220680 in words is "twenty-one million, two hundred twenty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 61 65 78 104 120 122 130 156 183 195 223 244 260 305 312 366 390 446 488 520 610 669 732 780 793 892 915 1115 1220 1338 1464 1560 1586 1784 1830 2230 2379 2440 2676 2899 3172 3345 3660 3965 4460 4758 5352 5798 6344 6690 7320 7930 8697 8920 9516 11596 11895 13380 13603 14495 15860 17394 19032 23192 23790 26760 27206 28990 31720 34788 40809 43485 47580 54412 57980 68015 69576 81618 86970 95160 108824 115960 136030 163236 173940 176839 204045 272060 326472 347880 353678 408090 530517 544120 707356 816180 884195 1061034 1414712 1632360 1768390 2122068 2652585 3536780 4244136 5305170 7073560 10610340 21220680