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2020006620 = 2233514712543
BaseRepresentation
bin111100001100110…
…1101101011011100
312012202222222011000
41320121231223130
513114110202440
6532235430300
7101025526062
oct17031555334
95182888130
102020006620
11947271965
124845b5390
132626607b8
141523c6032
15bc515730
hex7866dadc

2020006620 has 96 divisors (see below), whose sum is σ = 6291210240. Its totient is φ = 538090560.

The previous prime is 2020006529. The next prime is 2020006621. The reversal of 2020006620 is 266000202.

2020006620 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 0 + 0 + 662 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2020006593 and 2020006602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020006621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 793069 + ... + 795611.

It is an arithmetic number, because the mean of its divisors is an integer number (65533440).

Almost surely, 22020006620 is an apocalyptic number.

2020006620 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 2020006620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3145605120).

2020006620 is an abundant number, since it is smaller than the sum of its proper divisors (4271203620).

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

2020006620 is a wasteful number, since it uses less digits than its factorization.

2020006620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4032 (or 4024 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2020006620 is about 44944.4837549615. The cubic root of 2020006620 is about 1264.1082457838.

Adding to 2020006620 its reverse (266000202), we get a palindrome (2286006822).

The spelling of 2020006620 in words is "two billion, twenty million, six thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 1471 2543 2942 4413 5086 5884 7355 7629 8826 10172 12715 13239 14710 15258 17652 22065 22887 25430 26478 29420 30516 38145 39717 44130 45774 50860 52956 66195 68661 76290 79434 88260 91548 114435 132390 137322 152580 158868 198585 228870 264780 274644 343305 397170 457740 686610 794340 1373220 3740753 7481506 11222259 14963012 18703765 22444518 33666777 37407530 44889036 56111295 67333554 74815060 101000331 112222590 134667108 168333885 202000662 224445180 336667770 404001324 505001655 673335540 1010003310 2020006620