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20889792 = 2633711157
BaseRepresentation
bin100111110110…
…0000011000000
31110022022102000
41033230003000
520321433132
62023424000
7342363120
oct117540300
943268360
1020889792
11108788a0
126bb5000
134435431
142abac80
151c7987c
hex13ec0c0

20889792 has 224 divisors, whose sum is σ = 77053440. Its totient is φ = 5391360.

The previous prime is 20889779. The next prime is 20889809. The reversal of 20889792 is 29798802.

It is a tau number, because it is divible by the number of its divisors (224).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132978 + ... + 133134.

Almost surely, 220889792 is an apocalyptic number.

20889792 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 20889792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38526720).

20889792 is an abundant number, since it is smaller than the sum of its proper divisors (56163648).

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

20889792 is a wasteful number, since it uses less digits than its factorization.

20889792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 20889792 is about 4570.5351984204. The cubic root of 20889792 is about 275.4089430884.

It can be divided in two parts, 208 and 89792, that added together give a square (90000 = 3002).

The spelling of 20889792 in words is "twenty million, eight hundred eighty-nine thousand, seven hundred ninety-two".