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806770536 = 2331113317583
BaseRepresentation
bin110000000101100…
…101011101101000
32002020002012010020
4300011211131220
53123013124121
6212015520440
725664302455
oct6005453550
92066065106
10806770536
11384445710
121a6229120
13cb1b3820
147920c82c
154ac631c6
hex30165768

806770536 has 128 divisors (see below), whose sum is σ = 2446295040. Its totient is φ = 218361600.

The previous prime is 806770499. The next prime is 806770537. The reversal of 806770536 is 635077608.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (806770537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102601 + ... + 110183.

It is an arithmetic number, because the mean of its divisors is an integer number (19111680).

Almost surely, 2806770536 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 806770536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1223147520).

806770536 is an abundant number, since it is smaller than the sum of its proper divisors (1639524504).

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

806770536 is a wasteful number, since it uses less digits than its factorization.

806770536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7647 (or 7643 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The square root of 806770536 is about 28403.7063778655. The cubic root of 806770536 is about 930.9292504008.

The spelling of 806770536 in words is "eight hundred six million, seven hundred seventy thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 31 33 39 44 52 62 66 78 88 93 104 124 132 143 156 186 248 264 286 312 341 372 403 429 572 682 744 806 858 1023 1144 1209 1364 1612 1716 2046 2418 2728 3224 3432 4092 4433 4836 7583 8184 8866 9672 13299 15166 17732 22749 26598 30332 35464 45498 53196 60664 83413 90996 98579 106392 166826 181992 197158 235073 250239 295737 333652 394316 470146 500478 591474 667304 705219 788632 940292 1000956 1084369 1182948 1410438 1880584 2001912 2168738 2365896 2585803 2820876 3055949 3253107 4337476 5171606 5641752 6111898 6506214 7757409 8674952 9167847 10343212 12223796 13012428 15514818 18335694 20686424 24447592 26024856 31029636 33615439 36671388 62059272 67230878 73342776 100846317 134461756 201692634 268923512 403385268 806770536