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20753872 = 2417411861
BaseRepresentation
bin100111100101…
…0110111010000
31110001101221221
41033022313100
520303110442
62020454424
7341255626
oct117126720
943041857
1020753872
1110795767
126b4a414
1343b85c9
142a83516
151c4e467
hex13cadd0

20753872 has 40 divisors (see below), whose sum is σ = 43637832. Its totient is φ = 9523200.

The previous prime is 20753861. The next prime is 20753891. The reversal of 20753872 is 27835702.

It can be written as a sum of positive squares in 4 ways, for example, as 287296 + 20466576 = 536^2 + 4524^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10222 + ... + 12082.

Almost surely, 220753872 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 20753872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21818916).

20753872 is an abundant number, since it is smaller than the sum of its proper divisors (22883960).

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

20753872 is a wasteful number, since it uses less digits than its factorization.

20753872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1927 (or 1921 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 34.

The square root of 20753872 is about 4555.6417769618. The cubic root of 20753872 is about 274.8103243015.

The spelling of 20753872 in words is "twenty million, seven hundred fifty-three thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 328 656 697 1394 1861 2788 3722 5576 7444 11152 14888 29776 31637 63274 76301 126548 152602 253096 305204 506192 610408 1220816 1297117 2594234 5188468 10376936 20753872