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810069104 = 241319712887
BaseRepresentation
bin110000010010001…
…010110001110000
32002110021202220102
4300102022301300
53124334202404
6212214331532
726034321335
oct6022126160
92073252812
10810069104
113862989a9
121a7359ba8
13cba9a040
147982a98c
154b1b571e
hex3048ac70

810069104 has 80 divisors (see below), whose sum is σ = 1804884480. Its totient is φ = 349090560.

The previous prime is 810069097. The next prime is 810069109. The reversal of 810069104 is 401960018.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (810069109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 279149 + ... + 282035.

It is an arithmetic number, because the mean of its divisors is an integer number (22561056).

Almost surely, 2810069104 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 810069104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (902442240).

810069104 is an abundant number, since it is smaller than the sum of its proper divisors (994815376).

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

810069104 is a wasteful number, since it uses less digits than its factorization.

810069104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2992 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 29.

The square root of 810069104 is about 28461.7129491533. The cubic root of 810069104 is about 932.1962599453.

The spelling of 810069104 in words is "eight hundred ten million, sixty-nine thousand, one hundred four".

Divisors: 1 2 4 8 13 16 19 26 38 52 71 76 104 142 152 208 247 284 304 494 568 923 988 1136 1349 1846 1976 2698 2887 3692 3952 5396 5774 7384 10792 11548 14768 17537 21584 23096 35074 37531 46192 54853 70148 75062 109706 140296 150124 204977 219412 280592 300248 409954 438824 600496 713089 819908 877648 1426178 1639816 2664701 2852356 3279632 3894563 5329402 5704712 7789126 10658804 11409424 15578252 21317608 31156504 42635216 50629319 62313008 101258638 202517276 405034552 810069104