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20840380340 = 2251326918923
BaseRepresentation
bin10011011010001011…
…101111011110110100
31222210101212000100112
4103122023233132310
5320140114132330
613323545402152
71335305211233
oct233213573664
958711760315
1020840380340
11892494022a
124057499358
131c71828500
141019b62b1a
1581e91c795
hex4da2ef7b4

20840380340 has 72 divisors (see below), whose sum is σ = 47464185888. Its totient is φ = 7682912640.

The previous prime is 20840380333. The next prime is 20840380409. The reversal of 20840380340 is 4308304802.

It is a junction number, because it is equal to n+sod(n) for n = 20840380297 and 20840380306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2331119 + ... + 2340041.

It is an arithmetic number, because the mean of its divisors is an integer number (659224804).

Almost surely, 220840380340 is an apocalyptic number.

20840380340 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 20840380340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23732092944).

20840380340 is an abundant number, since it is smaller than the sum of its proper divisors (26623805548).

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

20840380340 is a wasteful number, since it uses less digits than its factorization.

20840380340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9649 (or 9634 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 20840380340 in words is "twenty billion, eight hundred forty million, three hundred eighty thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 338 676 691 845 1382 1690 2764 3380 3455 6910 8923 8983 13820 17846 17966 35692 35932 44615 44915 89230 89830 115999 116779 178460 179660 231998 233558 463996 467116 579995 583895 1159990 1167790 1507987 2319980 2335580 3015974 6031948 6165793 7539935 12331586 15079870 24663172 30159740 30828965 61657930 80155309 123315860 160310618 320621236 400776545 801553090 1042019017 1603106180 2084038034 4168076068 5210095085 10420190170 20840380340