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20735064 = 2332741141
BaseRepresentation
bin100111100011…
…0010001011000
31110000110011100
41033012101120
520302010224
62020231400
7341150040
oct117062130
943013140
1020735064
1110782619
126b3b560
1343acb8c
142a7a720
151c48ac9
hex13c6458

20735064 has 48 divisors (see below), whose sum is σ = 64181520. Its totient is φ = 5924160.

The previous prime is 20735041. The next prime is 20735069. The reversal of 20735064 is 46053702.

It is a happy number.

It is a zygodrome in base 3.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20735069) 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, 20067 + ... + 21074.

It is an arithmetic number, because the mean of its divisors is an integer number (1337115).

Almost surely, 220735064 is an apocalyptic number.

20735064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20735064 is an abundant number, since it is smaller than the sum of its proper divisors (43446456).

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

20735064 is a wasteful number, since it uses less digits than its factorization.

20735064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41160 (or 41153 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 20735064 is about 4553.5770554587. The cubic root of 20735064 is about 274.7272844603.

Adding to 20735064 its reverse (46053702), we get a palindrome (66788766).

The spelling of 20735064 in words is "twenty million, seven hundred thirty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 168 252 504 41141 82282 123423 164564 246846 287987 329128 370269 493692 575974 740538 863961 987384 1151948 1481076 1727922 2303896 2591883 2962152 3455844 5183766 6911688 10367532 20735064