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20044080 = 2432574197
BaseRepresentation
bin100110001110…
…1100100110000
31101201100022100
41030131210300
520112402310
61553340400
7332241360
oct114354460
941640270
1020044080
1110350461
126867700
1341ca504
14293a9a0
151b5dec0
hex131d930

20044080 has 240 divisors, whose sum is σ = 79619904. Its totient is φ = 4423680.

The previous prime is 20044067. The next prime is 20044091. The reversal of 20044080 is 8044002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

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, 206592 + ... + 206688.

Almost surely, 220044080 is an apocalyptic number.

20044080 is a gapful number since it is divisible by the number (20) 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 20044080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39809952).

20044080 is an abundant number, since it is smaller than the sum of its proper divisors (59575824).

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

20044080 is a wasteful number, since it uses less digits than its factorization.

20044080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 20044080 is about 4477.0615363204. The cubic root of 20044080 is about 271.6410345462.

Adding to 20044080 its reverse (8044002), we get a palindrome (28088082).

It can be divided in two parts, 2004 and 4080, that added together give a square (6084 = 782).

The spelling of 20044080 in words is "twenty million, forty-four thousand, eighty".