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2020959960 = 2335531971613
BaseRepresentation
bin111100001110101…
…0110011011011000
312012211210101212220
41320131112123120
513114331204320
6532312104040
7101036606355
oct17035263330
95184711786
102020959960
11947863148
12484995020
132629056c6
1415259362c
15bc652e40
hex787566d8

2020959960 has 128 divisors (see below), whose sum is σ = 6212479680. Its totient is φ = 525744128.

The previous prime is 2020959923. The next prime is 2020959961. The reversal of 2020959960 is 699590202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2020959961) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1252114 + ... + 1253726.

Almost surely, 22020959960 is an apocalyptic number.

2020959960 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 2020959960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3106239840).

2020959960 is an abundant number, since it is smaller than the sum of its proper divisors (4191519720).

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

2020959960 is a wasteful number, since it uses less digits than its factorization.

2020959960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1877 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 87480, while the sum is 42.

The square root of 2020959960 is about 44955.0882548350. The cubic root of 2020959960 is about 1264.3070793597.

The spelling of 2020959960 in words is "two billion, twenty million, nine hundred fifty-nine thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 197 212 265 318 394 424 530 591 636 788 795 985 1060 1182 1272 1576 1590 1613 1970 2120 2364 2955 3180 3226 3940 4728 4839 5910 6360 6452 7880 8065 9678 10441 11820 12904 16130 19356 20882 23640 24195 31323 32260 38712 41764 48390 52205 62646 64520 83528 85489 96780 104410 125292 156615 170978 193560 208820 250584 256467 313230 317761 341956 417640 427445 512934 626460 635522 683912 854890 953283 1025868 1252920 1271044 1282335 1588805 1709780 1906566 2051736 2542088 2564670 3177610 3419560 3813132 4766415 5129340 6355220 7626264 9532830 10258680 12710440 16841333 19065660 33682666 38131320 50523999 67365332 84206665 101047998 134730664 168413330 202095996 252619995 336826660 404191992 505239990 673653320 1010479980 2020959960