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20981088 = 2532263277
BaseRepresentation
bin101000000001…
…0010101100000
31110110221122100
41100002111200
520332343323
62025410400
7343223232
oct120022540
943427570
1020981088
1110930447
127039a00
134467b5b
142b02252
151c96943
hex1402560

20981088 has 72 divisors (see below), whose sum is σ = 60108048. Its totient is φ = 6941952.

The previous prime is 20981069. The next prime is 20981089. The reversal of 20981088 is 88018902.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20981089) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 75606 + ... + 75882.

It is an arithmetic number, because the mean of its divisors is an integer number (834834).

Almost surely, 220981088 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 20981088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30054024).

20981088 is an abundant number, since it is smaller than the sum of its proper divisors (39126960).

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

20981088 is a wasteful number, since it uses less digits than its factorization.

20981088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 20981088 is about 4580.5117618013. The cubic root of 20981088 is about 275.8095724876.

The spelling of 20981088 in words is "twenty million, nine hundred eighty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 263 277 288 526 554 789 831 1052 1108 1578 1662 2104 2216 2367 2493 3156 3324 4208 4432 4734 4986 6312 6648 8416 8864 9468 9972 12624 13296 18936 19944 25248 26592 37872 39888 72851 75744 79776 145702 218553 291404 437106 582808 655659 874212 1165616 1311318 1748424 2331232 2622636 3496848 5245272 6993696 10490544 20981088