Search a number
-
+
806199966 = 234111322677
BaseRepresentation
bin110000000011011…
…010001010011110
32002012000012110000
4300003122022132
53122341344331
6211555355130
725656405135
oct6003321236
92065005400
10806199966
11384095a70
121a5bb2aa6
13cb043c00
147910091c
154ab9e0e6
hex300da29e

806199966 has 120 divisors (see below), whose sum is σ = 2134762344. Its totient is φ = 225426240.

The previous prime is 806199949. The next prime is 806199997. The reversal of 806199966 is 669991608.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

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 59 ways as a sum of consecutive naturals, for example, 299820 + ... + 302496.

Almost surely, 2806199966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 806199966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1067381172).

806199966 is an abundant number, since it is smaller than the sum of its proper divisors (1328562378).

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

806199966 is a wasteful number, since it uses less digits than its factorization.

806199966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2728 (or 2706 counting only the distinct ones).

The product of its (nonzero) digits is 1259712, while the sum is 54.

The square root of 806199966 is about 28393.6606657190. The cubic root of 806199966 is about 930.7097391747.

The spelling of 806199966 in words is "eight hundred six million, one hundred ninety-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 81 99 117 143 162 169 198 234 286 297 338 351 429 507 594 702 858 891 1014 1053 1287 1521 1782 1859 2106 2574 2677 3042 3718 3861 4563 5354 5577 7722 8031 9126 11154 11583 13689 16062 16731 23166 24093 27378 29447 33462 34801 48186 50193 58894 69602 72279 88341 100386 104403 144558 150579 176682 208806 216837 265023 301158 313209 382811 433674 452413 530046 626418 765622 795069 904826 939627 1148433 1357239 1590138 1879254 2296866 2385207 2714478 2818881 3445299 4071717 4770414 4976543 5637762 6890598 8143434 9953086 10335897 12215151 14929629 20671794 24430302 29859258 31007691 36645453 44788887 62015382 73290906 89577774 134366661 268733322 403099983 806199966