Search a number
-
+
21351660 = 223511217173
BaseRepresentation
bin101000101110…
…0110011101100
31111011202222020
41101130303230
520431223120
62041350140
7346325511
oct121346354
944152866
1021351660
1111063900
127198350
134567725
142b9b308
151d1b640
hex145ccec

21351660 has 144 divisors (see below), whose sum is σ = 69981408. Its totient is φ = 4843520.

The previous prime is 21351637. The next prime is 21351661. The reversal of 21351660 is 6615312.

It is a self number, because there is not a number n which added to its sum of digits gives 21351660.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21351661) 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, 123334 + ... + 123506.

It is an arithmetic number, because the mean of its divisors is an integer number (485982).

Almost surely, 221351660 is an apocalyptic number.

21351660 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 21351660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34990704).

21351660 is an abundant number, since it is smaller than the sum of its proper divisors (48629748).

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

21351660 is a wasteful number, since it uses less digits than its factorization.

21351660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 21351660 is about 4620.7856474846. The cubic root of 21351660 is about 277.4239057652.

Adding to 21351660 its reverse (6615312), we get a palindrome (27966972).

The spelling of 21351660 in words is "twenty-one million, three hundred fifty-one thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 17 20 22 30 33 34 44 51 55 60 66 68 85 102 110 121 132 165 170 173 187 204 220 242 255 330 340 346 363 374 484 510 519 561 605 660 692 726 748 865 935 1020 1038 1122 1210 1452 1730 1815 1870 1903 2057 2076 2244 2420 2595 2805 2941 3460 3630 3740 3806 4114 5190 5610 5709 5882 6171 7260 7612 8228 8823 9515 10285 10380 11220 11418 11764 12342 14705 17646 19030 20570 20933 22836 24684 28545 29410 30855 32351 35292 38060 41140 41866 44115 57090 58820 61710 62799 64702 83732 88230 97053 104665 114180 123420 125598 129404 161755 176460 194106 209330 251196 313995 323510 355861 388212 418660 485265 627990 647020 711722 970530 1067583 1255980 1423444 1779305 1941060 2135166 3558610 4270332 5337915 7117220 10675830 21351660