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806753340 = 223259194877
BaseRepresentation
bin110000000101100…
…001010000111100
32002020001022112100
4300011201100330
53123012101330
6212015305100
725664201361
oct6005412074
92066038470
10806753340
113844337a8
121a621b190
13cb1a8a53
1479206468
154ac5d060
hex3016143c

806753340 has 72 divisors (see below), whose sum is σ = 2450316960. Its totient is φ = 214856064.

The previous prime is 806753323. The next prime is 806753347. The reversal of 806753340 is 43357608.

It is a happy number.

806753340 is a `hidden beast` number, since 80 + 6 + 7 + 533 + 40 = 666.

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 = 806753295 and 806753304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (806753347) 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 23 ways as a sum of consecutive naturals, for example, 162982 + ... + 167858.

It is an arithmetic number, because the mean of its divisors is an integer number (34032180).

Almost surely, 2806753340 is an apocalyptic number.

It is an amenable number.

806753340 is an abundant number, since it is smaller than the sum of its proper divisors (1643563620).

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

806753340 is a wasteful number, since it uses less digits than its factorization.

806753340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5811 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 806753340 is about 28403.4036692788. The cubic root of 806753340 is about 930.9226362223.

The spelling of 806753340 in words is "eight hundred six million, seven hundred fifty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 919 1838 2757 3676 4595 4877 5514 8271 9190 9754 11028 13785 14631 16542 18380 19508 24385 27570 29262 33084 41355 43893 48770 55140 58524 73155 82710 87786 97540 146310 165420 175572 219465 292620 438930 877860 4481963 8963926 13445889 17927852 22409815 26891778 40337667 44819630 53783556 67229445 80675334 89639260 134458890 161350668 201688335 268917780 403376670 806753340