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2020405032 = 23351397477
BaseRepresentation
bin111100001101100…
…1110111100101000
312012210202012200000
41320123032330220
513114210430112
6532252143000
7101032105452
oct17033167450
95183665600
102020405032
11947514228
12484767a60
1326276cc49
1415248b2d2
15bc5937dc
hex786cef28

2020405032 has 96 divisors (see below), whose sum is σ = 5716183200. Its totient is φ = 668533824.

The previous prime is 2020405021. The next prime is 2020405043. The reversal of 2020405032 is 2305040202.

It is an interprime number because it is at equal distance from previous prime (2020405021) and next prime (2020405043).

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 = 2020404996 and 2020405014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 266478 + ... + 273954.

It is an arithmetic number, because the mean of its divisors is an integer number (59543575).

Almost surely, 22020405032 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 2020405032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2858091600).

2020405032 is an abundant number, since it is smaller than the sum of its proper divisors (3695778168).

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

2020405032 is a wasteful number, since it uses less digits than its factorization.

2020405032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7637 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 2020405032 is about 44948.9158044997. The cubic root of 2020405032 is about 1264.1913482815.

Adding to 2020405032 its reverse (2305040202), we get a palindrome (4325445234).

The spelling of 2020405032 in words is "two billion, twenty million, four hundred five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 139 162 216 243 278 324 417 486 556 648 834 972 1112 1251 1668 1944 2502 3336 3753 5004 7477 7506 10008 11259 14954 15012 22431 22518 29908 30024 33777 44862 45036 59816 67293 67554 89724 90072 134586 135108 179448 201879 269172 270216 403758 538344 605637 807516 1039303 1211274 1615032 1816911 2078606 2422548 3117909 3633822 4157212 4845096 6235818 7267644 8314424 9353727 12471636 14535288 18707454 24943272 28061181 37414908 56122362 74829816 84183543 112244724 168367086 224489448 252550629 336734172 505101258 673468344 1010202516 2020405032