Search a number
-
+
7668066 = 237416173
BaseRepresentation
bin11101010000000101100010
3112102120121110
4131100011202
53430334231
6432204150
7122114610
oct35200542
915376543
107668066
11436814a
122699656
131786323
1410386b0
15a17046
hex750162

7668066 has 64 divisors (see below), whose sum is σ = 18498816. Its totient is φ = 2073600.

The previous prime is 7668049. The next prime is 7668079. The reversal of 7668066 is 6608667.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105006 + ... + 105078.

It is an arithmetic number, because the mean of its divisors is an integer number (289044).

Almost surely, 27668066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7668066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9249408).

7668066 is an abundant number, since it is smaller than the sum of its proper divisors (10830750).

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

7668066 is a wasteful number, since it uses less digits than its factorization.

7668066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187.

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 7668066 is about 2769.1272993490. The cubic root of 7668066 is about 197.1947193047.

The spelling of 7668066 in words is "seven million, six hundred sixty-eight thousand, sixty-six".

Divisors: 1 2 3 6 7 14 21 41 42 61 73 82 122 123 146 183 219 246 287 366 427 438 511 574 854 861 1022 1281 1533 1722 2501 2562 2993 3066 4453 5002 5986 7503 8906 8979 13359 15006 17507 17958 20951 26718 31171 35014 41902 52521 62342 62853 93513 105042 125706 182573 187026 365146 547719 1095438 1278011 2556022 3834033 7668066