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21311064 = 23321723757
BaseRepresentation
bin101000101001…
…0111001011000
31111002201021200
41101102321120
520423423224
62040434200
7346066245
oct121227130
944081250
1021311064
1111036355
127178960
1345520c8
142b8a5cc
151d0e5c9
hex1452e58

21311064 has 96 divisors (see below), whose sum is σ = 63853920. Its totient is φ = 6386688.

The previous prime is 21311057. The next prime is 21311071. The reversal of 21311064 is 46011312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (21311057) and next prime (21311071).

It is a super-2 number, since 2×213110642 = 908322897624192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 27774 + ... + 28530.

It is an arithmetic number, because the mean of its divisors is an integer number (665145).

Almost surely, 221311064 is an apocalyptic number.

21311064 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 21311064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31926960).

21311064 is an abundant number, since it is smaller than the sum of its proper divisors (42542856).

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

21311064 is a wasteful number, since it uses less digits than its factorization.

21311064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 809 (or 802 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 21311064 is about 4616.3907980153. The cubic root of 21311064 is about 277.2479718079.

Adding to 21311064 its reverse (46011312), we get a palindrome (67322376).

The spelling of 21311064 in words is "twenty-one million, three hundred eleven thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 34 36 46 51 68 69 72 92 102 136 138 153 184 204 207 276 306 391 408 414 552 612 757 782 828 1173 1224 1514 1564 1656 2271 2346 3028 3128 3519 4542 4692 6056 6813 7038 9084 9384 12869 13626 14076 17411 18168 25738 27252 28152 34822 38607 51476 52233 54504 69644 77214 102952 104466 115821 139288 154428 156699 208932 231642 295987 308856 313398 417864 463284 591974 626796 887961 926568 1183948 1253592 1775922 2367896 2663883 3551844 5327766 7103688 10655532 21311064