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2026806840 = 2333510717539
BaseRepresentation
bin111100011001110…
…1001111000111000
312020020210110022000
41320303221320320
513122330304330
6533041301000
7101140400562
oct17063517070
95206713260
102026806840
11950096a83
12486934760
13263ba1ab6
14153276332
15bce0a560
hex78ce9e38

2026806840 has 128 divisors (see below), whose sum is σ = 6819552000. Its totient is φ = 535400064.

The previous prime is 2026806809. The next prime is 2026806863. The reversal of 2026806840 is 486086202.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2026806795 and 2026806804.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 106791 + ... + 124329.

It is an arithmetic number, because the mean of its divisors is an integer number (53277750).

Almost surely, 22026806840 is an apocalyptic number.

2026806840 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 2026806840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3409776000).

2026806840 is an abundant number, since it is smaller than the sum of its proper divisors (4792745160).

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

2026806840 is a wasteful number, since it uses less digits than its factorization.

2026806840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17666 (or 17656 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2026806840 is about 45020.0715237104. The cubic root of 2026806840 is about 1265.5251695194.

The spelling of 2026806840 in words is "two billion, twenty-six million, eight hundred six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 107 108 120 135 180 214 216 270 321 360 428 535 540 642 856 963 1070 1080 1284 1605 1926 2140 2568 2889 3210 3852 4280 4815 5778 6420 7704 9630 11556 12840 14445 17539 19260 23112 28890 35078 38520 52617 57780 70156 87695 105234 115560 140312 157851 175390 210468 263085 315702 350780 420936 473553 526170 631404 701560 789255 947106 1052340 1262808 1578510 1876673 1894212 2104680 2367765 3157020 3753346 3788424 4735530 5630019 6314040 7506692 9383365 9471060 11260038 15013384 16890057 18766730 18942120 22520076 28150095 33780114 37533460 45040152 50670171 56300190 67560228 75066920 84450285 101340342 112600380 135120456 168900570 202680684 225200760 253350855 337801140 405361368 506701710 675602280 1013403420 2026806840