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806538390 = 23578346273
BaseRepresentation
bin110000000100101…
…100110010010110
32002012122101200020
4300010230302112
53122433212030
6212010530010
725662314610
oct6004546226
92065571606
10806538390
113842a7259
121a6136906
13cb131c68
147918bdb0
154ac19510
hex3012cc96

806538390 has 64 divisors (see below), whose sum is σ = 2238921216. Its totient is φ = 182126592.

The previous prime is 806538389. The next prime is 806538419. The reversal of 806538390 is 93835608.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5707 + ... + 40566.

It is an arithmetic number, because the mean of its divisors is an integer number (34983144).

Almost surely, 2806538390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806538390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1119460608).

806538390 is an abundant number, since it is smaller than the sum of its proper divisors (1432382826).

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

806538390 is a wasteful number, since it uses less digits than its factorization.

806538390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46373.

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 806538390 is about 28399.6195397051. The cubic root of 806538390 is about 930.8399510590.

The spelling of 806538390 in words is "eight hundred six million, five hundred thirty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 83 105 166 210 249 415 498 581 830 1162 1245 1743 2490 2905 3486 5810 8715 17430 46273 92546 138819 231365 277638 323911 462730 647822 694095 971733 1388190 1619555 1943466 3239110 3840659 4858665 7681318 9717330 11521977 19203295 23043954 26884613 38406590 53769226 57609885 80653839 115219770 134423065 161307678 268846130 403269195 806538390