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20169072 = 243271117107
BaseRepresentation
bin100110011110…
…0000101110000
31101221200202200
41030330011300
520130402242
62000143200
7333301650
oct114740560
941850680
1020169072
1110426360
126907b00
134242381
142970360
151b8604c
hex133c170

20169072 has 240 divisors, whose sum is σ = 75209472. Its totient is φ = 4884480.

The previous prime is 20169047. The next prime is 20169109. The reversal of 20169072 is 27096102.

20169072 is a modest number, since divided by 9072 gives 2016 as remainder.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 188443 + ... + 188549.

Almost surely, 220169072 is an apocalyptic number.

20169072 is a gapful number since it is divisible by the number (22) 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 20169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37604736).

20169072 is an abundant number, since it is smaller than the sum of its proper divisors (55040400).

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

20169072 is a wasteful number, since it uses less digits than its factorization.

20169072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 20169072 is about 4490.9989979959. The cubic root of 20169072 is about 272.2045030687.

The spelling of 20169072 in words is "twenty million, one hundred sixty-nine thousand, seventy-two".