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20084280 = 2335315399
BaseRepresentation
bin100110010011…
…1011000111000
31101210101110020
41030213120320
520120144110
61554250440
7332466516
oct114473070
941711406
1020084280
1110378687
126886a20
1342128b8
14294b4b6
151b6ad70
hex1327638

20084280 has 64 divisors (see below), whose sum is σ = 62208000. Its totient is φ = 5182080.

The previous prime is 20084261. The next prime is 20084299. The reversal of 20084280 is 8248002.

It is an interprime number because it is at equal distance from previous prime (20084261) and next prime (20084299).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20084280.

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, 1021 + ... + 6419.

It is an arithmetic number, because the mean of its divisors is an integer number (972000).

Almost surely, 220084280 is an apocalyptic number.

20084280 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 20084280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31104000).

20084280 is an abundant number, since it is smaller than the sum of its proper divisors (42123720).

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

20084280 is a wasteful number, since it uses less digits than its factorization.

20084280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5444 (or 5440 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 20084280 is about 4481.5488394081. The cubic root of 20084280 is about 271.8225125258.

The spelling of 20084280 in words is "twenty million, eighty-four thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5399 10798 16197 21596 26995 32394 43192 53990 64788 80985 107980 129576 161970 167369 215960 323940 334738 502107 647880 669476 836845 1004214 1338952 1673690 2008428 2510535 3347380 4016856 5021070 6694760 10042140 20084280