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20567904 = 2537127241
BaseRepresentation
bin100111001110…
…1011101100000
31102200221212020
41032131131200
520231133104
62012501440
7336552510
oct116353540
942627766
1020567904
1110678a75
126a7a880
134351a76
142a35840
151c142d9
hex139d760

20567904 has 96 divisors (see below), whose sum is σ = 62447616. Its totient is φ = 5806080.

The previous prime is 20567891. The next prime is 20567923. The reversal of 20567904 is 40976502.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 85224 + ... + 85464.

It is an arithmetic number, because the mean of its divisors is an integer number (650496).

Almost surely, 220567904 is an apocalyptic number.

20567904 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 20567904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31223808).

20567904 is an abundant number, since it is smaller than the sum of its proper divisors (41879712).

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

20567904 is a wasteful number, since it uses less digits than its factorization.

20567904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 20567904 is about 4535.1851119883. The cubic root of 20567904 is about 273.9870347462.

The spelling of 20567904 in words is "twenty million, five hundred sixty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 127 168 224 241 254 336 381 482 508 672 723 762 889 964 1016 1446 1524 1687 1778 1928 2032 2667 2892 3048 3374 3556 3856 4064 5061 5334 5784 6096 6748 7112 7712 10122 10668 11568 12192 13496 14224 20244 21336 23136 26992 28448 30607 40488 42672 53984 61214 80976 85344 91821 122428 161952 183642 214249 244856 367284 428498 489712 642747 734568 856996 979424 1285494 1469136 1713992 2570988 2938272 3427984 5141976 6855968 10283952 20567904