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809269020 = 2232571737781
BaseRepresentation
bin110000001111000…
…111011100011100
32002101210010101200
4300033013130130
53124133102040
6212145235500
726024446620
oct6017073434
92071703350
10809269020
113858a187a
121a7032b90
13cb879b11
147969d180
154b0a8630
hex303c771c

809269020 has 144 divisors (see below), whose sum is σ = 2970571968. Its totient is φ = 174090240.

The previous prime is 809269009. The next prime is 809269039. The reversal of 809269020 is 20962908.

809269020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2530 + ... + 40310.

It is an arithmetic number, because the mean of its divisors is an integer number (20628972).

Almost surely, 2809269020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 809269020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1485285984).

809269020 is an abundant number, since it is smaller than the sum of its proper divisors (2161302948).

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

809269020 is a wasteful number, since it uses less digits than its factorization.

809269020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37820 (or 37815 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 809269020 is about 28447.6540333294. The cubic root of 809269020 is about 931.8892569210.

The spelling of 809269020 in words is "eight hundred nine million, two hundred sixty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 17 18 20 21 28 30 34 35 36 42 45 51 60 63 68 70 84 85 90 102 105 119 126 140 153 170 180 204 210 238 252 255 306 315 340 357 420 476 510 595 612 630 714 765 1020 1071 1190 1260 1428 1530 1785 2142 2380 3060 3570 4284 5355 7140 10710 21420 37781 75562 113343 151124 188905 226686 264467 340029 377810 453372 528934 566715 642277 680058 755620 793401 1057868 1133430 1284554 1322335 1360116 1586802 1700145 1926831 2266860 2380203 2569108 2644670 3173604 3211385 3400290 3853662 3967005 4495939 4760406 5289340 5780493 6422770 6800580 7707324 7934010 8991878 9520812 9634155 11560986 11901015 12845540 13487817 15868020 17983756 19268310 22479695 23121972 23802030 26975634 28902465 38536620 40463451 44959390 47604060 53951268 57804930 67439085 80926902 89918780 115609860 134878170 161853804 202317255 269756340 404634510 809269020