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2101855460 = 225239974583
BaseRepresentation
bin111110101000111…
…1100010011100100
312102111000022122112
41331101330103210
513301033333320
6544322020152
7103041322325
oct17521742344
95374008575
102101855460
11989496131
124a7aa7658
132765ba573
1415d21044c
15c47d1ec5
hex7d47c4e4

2101855460 has 48 divisors (see below), whose sum is σ = 4611430656. Its totient is φ = 803206272.

The previous prime is 2101855451. The next prime is 2101855477. The reversal of 2101855460 is 645581012.

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, 456329 + ... + 460911.

It is an arithmetic number, because the mean of its divisors is an integer number (96071472).

Almost surely, 22101855460 is an apocalyptic number.

2101855460 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 2101855460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2305715328).

2101855460 is an abundant number, since it is smaller than the sum of its proper divisors (2509575196).

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

2101855460 is a wasteful number, since it uses less digits than its factorization.

2101855460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5612 (or 5610 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 2101855460 is about 45845.9972080442. The cubic root of 2101855460 is about 1280.9562068873.

The spelling of 2101855460 in words is "two billion, one hundred one million, eight hundred fifty-five thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 997 1994 3988 4583 4985 9166 9970 18332 19940 22915 22931 45830 45862 91660 91724 105409 114655 210818 229310 421636 458620 527045 1054090 2108180 4569251 9138502 18277004 22846255 45692510 91385020 105092773 210185546 420371092 525463865 1050927730 2101855460