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2020794024 = 2333114918229
BaseRepresentation
bin111100001110010…
…1101111010101000
312012211110222021010
41320130231322220
513114310402044
6532304343520
7101035315524
oct17034557250
95184428233
102020794024
1194775a507
12484914ba0
13262878012
1415254cd84
15bc61dbb9
hex7872dea8

2020794024 has 64 divisors (see below), whose sum is σ = 5250240000. Its totient is φ = 647458560.

The previous prime is 2020794011. The next prime is 2020794047. The reversal of 2020794024 is 4204970202.

It is a super-2 number, since 2×20207940242 = 8167216974868225152, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2020793982 and 2020794000.

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 15 ways as a sum of consecutive naturals, for example, 101742 + ... + 119970.

It is an arithmetic number, because the mean of its divisors is an integer number (82035000).

Almost surely, 22020794024 is an apocalyptic number.

2020794024 is a gapful number since it is divisible by the number (24) 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 2020794024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2625120000).

2020794024 is an abundant number, since it is smaller than the sum of its proper divisors (3229445976).

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

2020794024 is a wasteful number, since it uses less digits than its factorization.

2020794024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18418 (or 18414 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2020794024 is about 44953.2426416605. The cubic root of 2020794024 is about 1264.2724753752.

The spelling of 2020794024 in words is "two billion, twenty million, seven hundred ninety-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 149 186 248 298 372 447 596 744 894 1192 1788 3576 4619 9238 13857 18229 18476 27714 36458 36952 54687 55428 72916 109374 110856 145832 218748 437496 565099 1130198 1695297 2260396 2716121 3390594 4520792 5432242 6781188 8148363 10864484 13562376 16296726 21728968 32593452 65186904 84199751 168399502 252599253 336799004 505198506 673598008 1010397012 2020794024