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20734144 = 264761113
BaseRepresentation
bin100111100011…
…0000011000000
31110000101220021
41033012003000
520301443034
62020223224
7341144254
oct117060300
943011807
1020734144
1110781962
126b3ab14
1343ac632
142a7a264
151c486b4
hex13c60c0

20734144 has 56 divisors (see below), whose sum is σ = 43086528. Its totient is φ = 9891840.

The previous prime is 20734141. The next prime is 20734157. The reversal of 20734144 is 44143702.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20734141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 183432 + ... + 183544.

Almost surely, 220734144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20734144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21543264).

20734144 is an abundant number, since it is smaller than the sum of its proper divisors (22352384).

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

20734144 is a wasteful number, since it uses less digits than its factorization.

20734144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 20734144 is about 4553.4760348551. The cubic root of 20734144 is about 274.7232212490.

Adding to 20734144 its reverse (44143702), we get a palindrome (64877846).

The spelling of 20734144 in words is "twenty million, seven hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 47 61 64 94 113 122 188 226 244 376 452 488 752 904 976 1504 1808 1952 2867 3008 3616 3904 5311 5734 6893 7232 10622 11468 13786 21244 22936 27572 42488 45872 55144 84976 91744 110288 169952 183488 220576 323971 339904 441152 647942 1295884 2591768 5183536 10367072 20734144