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2058506920 = 23569617393
BaseRepresentation
bin111101010110010…
…0101001010101000
312022110102222122001
41322230211022220
513203434210140
6540132540344
7102004006621
oct17254451250
95273388561
102058506920
11966a78798
124954816b4
1326a620842
14157568a48
15c0abce9a
hex7ab252a8

2058506920 has 32 divisors (see below), whose sum is σ = 4632932520. Its totient is φ = 823173120.

The previous prime is 2058506917. The next prime is 2058506921. The reversal of 2058506920 is 296058502.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1587703716 + 470803204 = 39846^2 + 21698^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2058506920.

It is not an unprimeable number, because it can be changed into a prime (2058506921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 274744 + ... + 282136.

Almost surely, 22058506920 is an apocalyptic number.

2058506920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2058506920 is an abundant number, since it is smaller than the sum of its proper divisors (2574425600).

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

2058506920 is a wasteful number, since it uses less digits than its factorization.

2058506920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14365 (or 14361 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 2058506920 is about 45370.7716487168. The cubic root of 2058506920 is about 1272.0888434577.

The spelling of 2058506920 in words is "two billion, fifty-eight million, five hundred six thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 6961 7393 13922 14786 27844 29572 34805 36965 55688 59144 69610 73930 139220 147860 278440 295720 51462673 102925346 205850692 257313365 411701384 514626730 1029253460 2058506920