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1841805940 = 225132618933
BaseRepresentation
bin110110111000111…
…1011101001110100
311202100200102202211
41231301323221310
512233000242230
6502432143204
763433043422
oct15561735164
94670612684
101841805940
11865719077
12434997b04
13234769900
1413687a112
15aba6542a
hex6dc7ba74

1841805940 has 72 divisors (see below), whose sum is σ = 4257336888. Its totient is φ = 668828160.

The previous prime is 1841805929. The next prime is 1841805941. The reversal of 1841805940 is 495081481.

It can be written as a sum of positive squares in 12 ways, for example, as 1694474896 + 147331044 = 41164^2 + 12138^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1841805893 and 1841805902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1841805941) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 201714 + ... + 210646.

It is an arithmetic number, because the mean of its divisors is an integer number (59129679).

Almost surely, 21841805940 is an apocalyptic number.

1841805940 is a gapful number since it is divisible by the number (10) 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 1841805940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2128668444).

1841805940 is an abundant number, since it is smaller than the sum of its proper divisors (2415530948).

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

1841805940 is a wasteful number, since it uses less digits than its factorization.

1841805940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9029 (or 9014 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 40.

The square root of 1841805940 is about 42916.2666130222. The cubic root of 1841805940 is about 1225.7859046875.

The spelling of 1841805940 in words is "one billion, eight hundred forty-one million, eight hundred five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 61 65 122 130 169 244 260 305 338 610 676 793 845 1220 1586 1690 3172 3380 3965 7930 8933 10309 15860 17866 20618 35732 41236 44665 51545 89330 103090 116129 178660 206180 232258 464516 544913 580645 1089826 1161290 1509677 2179652 2322580 2724565 3019354 5449130 6038708 7083869 7548385 10898260 14167738 15096770 28335476 30193540 35419345 70838690 92090297 141677380 184180594 368361188 460451485 920902970 1841805940