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20492064 = 253271153
BaseRepresentation
bin100111000101…
…0111100100000
31102120002211100
41032022330200
520221221224
62011114400
7336115425
oct116127440
942502740
1020492064
1110626a9a
126a42a00
1343263a8
142a15d4c
151bebac9
hex138af20

20492064 has 36 divisors (see below), whose sum is σ = 58275126. Its totient is φ = 6830592.

The previous prime is 20492063. The next prime is 20492071. The reversal of 20492064 is 46029402.

It can be written as a sum of positive squares in only one way, i.e., 20250000 + 242064 = 4500^2 + 492^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20492063) 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 5 ways as a sum of consecutive naturals, for example, 35289 + ... + 35864.

Almost surely, 220492064 is an apocalyptic number.

20492064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20492064 is an abundant number, since it is smaller than the sum of its proper divisors (37783062).

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

20492064 is a wasteful number, since it uses less digits than its factorization.

20492064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71169 (or 71158 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 20492064 is about 4526.8160996444. The cubic root of 20492064 is about 273.6498626676.

The spelling of 20492064 in words is "twenty million, four hundred ninety-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 71153 142306 213459 284612 426918 569224 640377 853836 1138448 1280754 1707672 2276896 2561508 3415344 5123016 6830688 10246032 20492064