Search a number
-
+
21476664 = 23341123131
BaseRepresentation
bin101000111101…
…1010100111000
31111102010110000
41101323110320
520444223124
62044153000
7350356116
oct121732470
944363400
1021476664
1111139810
127238760
1345ac5b1
142bd0ab6
151d436c9
hex147b538

21476664 has 160 divisors (see below), whose sum is σ = 68999040. Its totient is φ = 6177600.

The previous prime is 21476659. The next prime is 21476671. The reversal of 21476664 is 46667412.

21476664 = 793 + 803 + ... + 1053.

It is a super-2 number, since 2×214766642 = 922494193137792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 163879 + ... + 164009.

It is an arithmetic number, because the mean of its divisors is an integer number (431244).

Almost surely, 221476664 is an apocalyptic number.

21476664 is a gapful number since it is divisible by the number (24) 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 21476664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34499520).

21476664 is an abundant number, since it is smaller than the sum of its proper divisors (47522376).

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

21476664 is a wasteful number, since it uses less digits than its factorization.

21476664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 170 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 21476664 is about 4634.2921789633. The cubic root of 21476664 is about 277.9642484604.

The spelling of 21476664 in words is "twenty-one million, four hundred seventy-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 23 24 27 33 36 44 46 54 66 69 72 81 88 92 99 108 131 132 138 162 184 198 207 216 253 262 264 276 297 324 393 396 414 506 524 552 594 621 648 759 786 792 828 891 1012 1048 1179 1188 1242 1441 1518 1572 1656 1782 1863 2024 2277 2358 2376 2484 2882 3013 3036 3144 3537 3564 3726 4323 4554 4716 4968 5764 6026 6072 6831 7074 7128 7452 8646 9039 9108 9432 10611 11528 12052 12969 13662 14148 14904 17292 18078 18216 20493 21222 24104 25938 27117 27324 28296 33143 34584 36156 38907 40986 42444 51876 54234 54648 66286 72312 77814 81351 81972 84888 99429 103752 108468 116721 132572 155628 162702 163944 198858 216936 233442 244053 265144 298287 311256 325404 397716 466884 488106 596574 650808 795432 894861 933768 976212 1193148 1789722 1952424 2386296 2684583 3579444 5369166 7158888 10738332 21476664