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2020355232 = 25373977573
BaseRepresentation
bin111100001101100…
…0010110010100000
312012210122200100120
41320123002302200
513114202331412
6532251120240
7101031510330
oct17033026240
95183580316
102020355232
1194748a875
12484743080
1326275338c
141524770c0
15bc583b8c
hex786c2ca0

2020355232 has 96 divisors (see below), whose sum is σ = 6077135232. Its totient is φ = 575714304.

The previous prime is 2020355203. The next prime is 2020355263. The reversal of 2020355232 is 2325530202.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 262998 + ... + 270570.

It is an arithmetic number, because the mean of its divisors is an integer number (63303492).

Almost surely, 22020355232 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 2020355232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038567616).

2020355232 is an abundant number, since it is smaller than the sum of its proper divisors (4056780000).

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

2020355232 is a wasteful number, since it uses less digits than its factorization.

2020355232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7990 (or 7982 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 2020355232 is about 44948.3618388924. The cubic root of 2020355232 is about 1264.1809613797.

Adding to 2020355232 its reverse (2325530202), we get a palindrome (4345885434).

The spelling of 2020355232 in words is "two billion, twenty million, three hundred fifty-five thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 397 672 794 1191 1588 2382 2779 3176 4764 5558 6352 7573 8337 9528 11116 12704 15146 16674 19056 22232 22719 30292 33348 38112 44464 45438 53011 60584 66696 88928 90876 106022 121168 133392 159033 181752 212044 242336 266784 318066 363504 424088 636132 727008 848176 1272264 1696352 2544528 3006481 5089056 6012962 9019443 12025924 18038886 21045367 24051848 36077772 42090734 48103696 63136101 72155544 84181468 96207392 126272202 144311088 168362936 252544404 288622176 336725872 505088808 673451744 1010177616 2020355232