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20736096 = 253613541
BaseRepresentation
bin100111100011…
…0100001100000
31110000111120120
41033012201200
520302023341
62020240240
7341153043
oct117064140
943014516
1020736096
1110783377
126b40080
1343b04a4
142a7ac5a
151c49066
hex13c6860

20736096 has 48 divisors (see below), whose sum is σ = 55340208. Its totient is φ = 6796800.

The previous prime is 20736083. The next prime is 20736103. The reversal of 20736096 is 69063702.

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

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4086 + ... + 7626.

It is an arithmetic number, because the mean of its divisors is an integer number (1152921).

Almost surely, 220736096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20736096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27670104).

20736096 is an abundant number, since it is smaller than the sum of its proper divisors (34604112).

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

20736096 is a wasteful number, since it uses less digits than its factorization.

20736096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3607 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 20736096 is about 4553.6903715558. The cubic root of 20736096 is about 274.7318421804.

Adding to 20736096 its reverse (69063702), we get a palindrome (89799798).

The spelling of 20736096 in words is "twenty million, seven hundred thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 96 122 183 244 366 488 732 976 1464 1952 2928 3541 5856 7082 10623 14164 21246 28328 42492 56656 84984 113312 169968 216001 339936 432002 648003 864004 1296006 1728008 2592012 3456016 5184024 6912032 10368048 20736096