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21345632 = 257118663
BaseRepresentation
bin101000101101…
…1010101100000
31111011110200222
41101123111200
520431030012
62041302212
7346302110
oct121332540
944143628
1021345632
111105a320
127194968
134564a69
142b99040
151d19972
hex145b560

21345632 has 48 divisors (see below), whose sum is σ = 52399872. Its totient is φ = 8315520.

The previous prime is 21345629. The next prime is 21345637. The reversal of 21345632 is 23654312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21345637) 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 7 ways as a sum of consecutive naturals, for example, 1868 + ... + 6795.

It is an arithmetic number, because the mean of its divisors is an integer number (1091664).

Almost surely, 221345632 is an apocalyptic number.

21345632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

21345632 is an abundant number, since it is smaller than the sum of its proper divisors (31054240).

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

21345632 is a wasteful number, since it uses less digits than its factorization.

21345632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8691 (or 8683 counting only the distinct ones).

The product of its digits is 4320, while the sum is 26.

The square root of 21345632 is about 4620.1333314094. The cubic root of 21345632 is about 277.3977958717.

Adding to 21345632 its reverse (23654312), we get a palindrome (44999944).

The spelling of 21345632 in words is "twenty-one million, three hundred forty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 8663 17326 34652 60641 69304 95293 121282 138608 190586 242564 277216 381172 485128 667051 762344 970256 1334102 1524688 1940512 2668204 3049376 5336408 10672816 21345632