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806683032 = 23326123011
BaseRepresentation
bin110000000101010…
…000000110011000
32002012220202002100
4300011100012120
53123002324112
6212014003400
725663456401
oct6005200630
92065822070
10806683032
113843959a1
121a61a6560
13cb182a4c
14791c89a8
154ac472dc
hex30150198

806683032 has 72 divisors (see below), whose sum is σ = 2221907220. Its totient is φ = 264398400.

The previous prime is 806683027. The next prime is 806683039. The reversal of 806683032 is 230386608.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806683039) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 266407 + ... + 269417.

Almost surely, 2806683032 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 806683032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1110953610).

806683032 is an abundant number, since it is smaller than the sum of its proper divisors (1415224188).

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

806683032 is a wasteful number, since it uses less digits than its factorization.

806683032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3145 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 806683032 is about 28402.1659737422. The cubic root of 806683032 is about 930.8955923470.

The spelling of 806683032 in words is "eight hundred six million, six hundred eighty-three thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 366 488 549 732 1098 1464 2196 3011 3721 4392 6022 7442 9033 11163 12044 14884 18066 22326 24088 27099 29768 33489 36132 44652 54198 66978 72264 89304 108396 133956 183671 216792 267912 367342 551013 734684 1102026 1469368 1653039 2204052 3306078 4408104 6612156 11203931 13224312 22407862 33611793 44815724 67223586 89631448 100835379 134447172 201670758 268894344 403341516 806683032