Search a number
-
+
21346668 = 223272329127
BaseRepresentation
bin101000101101…
…1100101101100
31111011112010100
41101123211230
520431043133
62041311100
7346305120
oct121334554
944145110
1021346668
1111060082
127195490
134565385
142b99580
151d19e13
hex145b96c

21346668 has 144 divisors (see below), whose sum is σ = 67092480. Its totient is φ = 5588352.

The previous prime is 21346667. The next prime is 21346673. The reversal of 21346668 is 86664312.

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

It is not an unprimeable number, because it can be changed into a prime (21346667) 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, 168021 + ... + 168147.

It is an arithmetic number, because the mean of its divisors is an integer number (465920).

Almost surely, 221346668 is an apocalyptic number.

21346668 is a gapful number since it is divisible by the number (28) 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 21346668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33546240).

21346668 is an abundant number, since it is smaller than the sum of its proper divisors (45745812).

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

21346668 is a wasteful number, since it uses less digits than its factorization.

21346668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 191 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 21346668 is about 4620.2454480255. The cubic root of 21346668 is about 277.4022835887.

The spelling of 21346668 in words is "twenty-one million, three hundred forty-six thousand, six hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 23 28 29 36 42 46 58 63 69 84 87 92 116 126 127 138 161 174 203 207 252 254 261 276 322 348 381 406 414 483 508 522 609 644 667 762 812 828 889 966 1044 1143 1218 1334 1449 1524 1778 1827 1932 2001 2286 2436 2667 2668 2898 2921 3556 3654 3683 4002 4572 4669 5334 5796 5842 6003 7308 7366 8001 8004 8763 9338 10668 11049 11684 12006 14007 14732 16002 17526 18676 20447 22098 24012 25781 26289 28014 32004 33147 35052 40894 42021 44196 51562 52578 56028 61341 66294 77343 81788 84042 84709 103124 105156 122682 132588 154686 168084 169418 184023 232029 245364 254127 309372 338836 368046 464058 508254 592963 736092 762381 928116 1016508 1185926 1524762 1778889 2371852 3049524 3557778 5336667 7115556 10673334 21346668