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21347424 = 2532710589
BaseRepresentation
bin101000101101…
…1110001100000
31111011120011100
41101123301200
520431104144
62041314400
7346310250
oct121336140
944146140
1021347424
11110606aa
127195a00
134565817
142b99960
151d1a269
hex145bc60

21347424 has 72 divisors (see below), whose sum is σ = 69385680. Its totient is φ = 6098688.

The previous prime is 21347423. The next prime is 21347441. The reversal of 21347424 is 42474312.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×213474242 = 911425022871552, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21347423) 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 11 ways as a sum of consecutive naturals, for example, 3279 + ... + 7310.

It is an arithmetic number, because the mean of its divisors is an integer number (963690).

Almost surely, 221347424 is an apocalyptic number.

21347424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21347424 is an abundant number, since it is smaller than the sum of its proper divisors (48038256).

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

21347424 is a wasteful number, since it uses less digits than its factorization.

21347424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10612 (or 10601 counting only the distinct ones).

The product of its digits is 5376, while the sum is 27.

The square root of 21347424 is about 4620.3272611364. The cubic root of 21347424 is about 277.4055583176.

The spelling of 21347424 in words is "twenty-one million, three hundred forty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 10589 21178 31767 42356 63534 74123 84712 95301 127068 148246 169424 190602 222369 254136 296492 338848 381204 444738 508272 592984 667107 762408 889476 1016544 1185968 1334214 1524816 1778952 2371936 2668428 3049632 3557904 5336856 7115808 10673712 21347424