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2020763136 = 2937226849
BaseRepresentation
bin111100001110010…
…0110011000000000
312012211102101220010
41320130212120000
513114303410021
6532303544520
7101035126500
oct17034463000
95184371803
102020763136
11947739287
124848bb140
13262866c42
14152541a00
15bc614976
hex78726600

2020763136 has 120 divisors (see below), whose sum is σ = 6262601400. Its totient is φ = 577339392.

The previous prime is 2020763131. The next prime is 2020763149. The reversal of 2020763136 is 6313670202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020763131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61840 + ... + 88688.

It is an arithmetic number, because the mean of its divisors is an integer number (52188345).

Almost surely, 22020763136 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 2020763136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3131300700).

2020763136 is an abundant number, since it is smaller than the sum of its proper divisors (4241838264).

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

2020763136 is an equidigital number, since it uses as much as digits as its factorization.

2020763136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26884 (or 26861 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 2020763136 is about 44952.8990833739. The cubic root of 2020763136 is about 1264.2660338400.

The spelling of 2020763136 in words is "two billion, twenty million, seven hundred sixty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 512 588 672 768 784 896 1176 1344 1536 1568 1792 2352 2688 3136 3584 4704 5376 6272 9408 10752 12544 18816 25088 26849 37632 53698 75264 80547 107396 161094 187943 214792 322188 375886 429584 563829 644376 751772 859168 1127658 1288752 1315601 1503544 1718336 2255316 2577504 2631202 3007088 3436672 3946803 4510632 5155008 5262404 6014176 6873344 7893606 9021264 10310016 10524808 12028352 13746688 15787212 18042528 20620032 21049616 24056704 31574424 36085056 41240064 42099232 48113408 63148848 72170112 84198464 96226816 126297696 144340224 168396928 252595392 288680448 336793856 505190784 673587712 1010381568 2020763136