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20889144 = 233397997
BaseRepresentation
bin100111110101…
…1111000111000
31110022021112000
41033223320320
520321423034
62023421000
7342361203
oct117537070
943267460
1020889144
1110878361
126bb4760
134435053
142aba93a
151c79599
hex13ebe38

20889144 has 64 divisors (see below), whose sum is σ = 58682400. Its totient is φ = 6884352.

The previous prime is 20889139. The next prime is 20889163. The reversal of 20889144 is 44198802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 20889099 and 20889108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20454 + ... + 21450.

Almost surely, 220889144 is an apocalyptic number.

20889144 is a gapful number since it is divisible by the number (24) 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 20889144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29341200).

20889144 is an abundant number, since it is smaller than the sum of its proper divisors (37793256).

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

20889144 is a wasteful number, since it uses less digits than its factorization.

20889144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 20889144 is about 4570.4643090172. The cubic root of 20889144 is about 275.4060953364.

The spelling of 20889144 in words is "twenty million, eight hundred eighty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 97 108 194 216 291 388 582 776 873 997 1164 1746 1994 2328 2619 2991 3492 3988 5238 5982 6984 7976 8973 10476 11964 17946 20952 23928 26919 35892 53838 71784 96709 107676 193418 215352 290127 386836 580254 773672 870381 1160508 1740762 2321016 2611143 3481524 5222286 6963048 10444572 20889144