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20755280 = 2457132851
BaseRepresentation
bin100111100101…
…1001101010000
31110001110220002
41033023031100
520303132110
62020505132
7341263010
oct117131520
943043802
1020755280
1110796827
126b4b1a8
1343b9140
142a83c40
151c4eaa5
hex13cb350

20755280 has 80 divisors (see below), whose sum is σ = 59412864. Its totient is φ = 6566400.

The previous prime is 20755211. The next prime is 20755297. The reversal of 20755280 is 8255702.

It is a tau number, because it is divible by the number of its divisors (80).

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, 5855 + ... + 8705.

Almost surely, 220755280 is an apocalyptic number.

20755280 is a gapful number since it is divisible by the number (20) 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 20755280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29706432).

20755280 is an abundant number, since it is smaller than the sum of its proper divisors (38657584).

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

20755280 is a wasteful number, since it uses less digits than its factorization.

20755280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2884 (or 2878 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 29.

The square root of 20755280 is about 4555.7963080015. The cubic root of 20755280 is about 274.8165387915.

The spelling of 20755280 in words is "twenty million, seven hundred fifty-five thousand, two hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 35 40 52 56 65 70 80 91 104 112 130 140 182 208 260 280 364 455 520 560 728 910 1040 1456 1820 2851 3640 5702 7280 11404 14255 19957 22808 28510 37063 39914 45616 57020 74126 79828 99785 114040 148252 159656 185315 199570 228080 259441 296504 319312 370630 399140 518882 593008 741260 798280 1037764 1297205 1482520 1596560 2075528 2594410 2965040 4151056 5188820 10377640 20755280