Search a number
-
+
8142966 = 23213172389
BaseRepresentation
bin11111000100000001110110
3120022201001100
4133010001312
54041033331
6450310530
7126133266
oct37040166
916281040
108142966
114661a27
122888446
1318c1530
14111d7a6
15aacae6
hex7c4076

8142966 has 96 divisors (see below), whose sum is σ = 21228480. Its totient is φ = 2230272.

The previous prime is 8142929. The next prime is 8142971. The reversal of 8142966 is 6692418.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8142966.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 91450 + ... + 91538.

It is an arithmetic number, because the mean of its divisors is an integer number (221130).

Almost surely, 28142966 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142966, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10614240).

8142966 is an abundant number, since it is smaller than the sum of its proper divisors (13085514).

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

8142966 is a wasteful number, since it uses less digits than its factorization.

8142966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 147 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 8142966 is about 2853.5882674275. The cubic root of 8142966 is about 201.1843559936.

The spelling of 8142966 in words is "eight million, one hundred forty-two thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 13 17 18 23 26 34 39 46 51 69 78 89 102 117 138 153 178 207 221 234 267 299 306 391 414 442 534 598 663 782 801 897 1157 1173 1326 1513 1602 1794 1989 2047 2314 2346 2691 3026 3471 3519 3978 4094 4539 5083 5382 6141 6942 7038 9078 10166 10413 12282 13617 15249 18423 19669 20826 26611 27234 30498 34799 36846 39338 45747 53222 59007 69598 79833 91494 104397 118014 159666 177021 208794 239499 313191 354042 452387 478998 626382 904774 1357161 2714322 4071483 8142966