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20816544 = 253730977
BaseRepresentation
bin100111101101…
…0001010100000
31110011120221010
41033122022200
520312112134
62022100520
7341636430
oct117321240
943146833
1020816544
1110828861
126b7a740
13440aca8
142a9c2c0
151c62ce9
hex13da2a0

20816544 has 48 divisors (see below), whose sum is σ = 62451648. Its totient is φ = 5947392.

The previous prime is 20816539. The next prime is 20816569. The reversal of 20816544 is 44561802.

It is a tau number, because it is divible by the number of its divisors (48).

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 7 ways as a sum of consecutive naturals, for example, 14817 + ... + 16160.

It is an arithmetic number, because the mean of its divisors is an integer number (1301076).

Almost surely, 220816544 is an apocalyptic number.

20816544 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20816544 is an abundant number, since it is smaller than the sum of its proper divisors (41635104).

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

20816544 is a wasteful number, since it uses less digits than its factorization.

20816544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30997 (or 30989 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 20816544 is about 4562.5150958654. The cubic root of 20816544 is about 275.0866680000.

The spelling of 20816544 in words is "twenty million, eight hundred sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 30977 61954 92931 123908 185862 216839 247816 371724 433678 495632 650517 743448 867356 991264 1301034 1486896 1734712 2602068 2973792 3469424 5204136 6938848 10408272 20816544