Search a number
-
+
866550006 = 232723141773
BaseRepresentation
bin110011101001101…
…000000011110110
32020101120022010200
4303221220003312
53233314100011
6221553101330
730321360600
oct6351500366
92211508120
10866550006
11405165933
12202257846
1310a6b42aa
1483130170
1551120856
hex33a680f6

866550006 has 144 divisors (see below), whose sum is σ = 2312489088. Its totient is φ = 233452800.

The previous prime is 866549977. The next prime is 866550011. The reversal of 866550006 is 600055668.

866550006 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1120636 + ... + 1121408.

It is an arithmetic number, because the mean of its divisors is an integer number (16058952).

Almost surely, 2866550006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 866550006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1156244544).

866550006 is an abundant number, since it is smaller than the sum of its proper divisors (1445939082).

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

866550006 is a wasteful number, since it uses less digits than its factorization.

866550006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867 (or 857 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The square root of 866550006 is about 29437.2214381725. The cubic root of 866550006 is about 953.3767206307.

The spelling of 866550006 in words is "eight hundred sixty-six million, five hundred fifty thousand, six".

Divisors: 1 2 3 6 7 9 14 18 21 31 41 42 49 62 63 82 93 98 123 126 147 186 217 246 279 287 294 369 434 441 558 574 651 738 773 861 882 1271 1302 1519 1546 1722 1953 2009 2319 2542 2583 3038 3813 3906 4018 4557 4638 5166 5411 6027 6957 7626 8897 9114 10822 11439 12054 13671 13914 16233 17794 18081 22878 23963 26691 27342 31693 32466 36162 37877 47926 48699 53382 62279 63386 71889 75754 80073 95079 97398 113631 124558 143778 160146 167741 186837 190158 215667 221851 227262 285237 335482 340893 373674 431334 443702 503223 560511 570474 665553 681786 982483 1006446 1121022 1174187 1331106 1509669 1552957 1964966 1996659 2348374 2947449 3019338 3105914 3522561 3993318 4658871 5894898 6877381 7045122 8842347 9317742 10567683 13754762 13976613 17684694 20632143 21135366 27953226 41264286 48141667 61896429 96283334 123792858 144425001 288850002 433275003 866550006