Search a number
-
+
166369368 = 233114611367
BaseRepresentation
bin10011110101010…
…01100001011000
3102121001102212110
421322221201120
5320042304433
624301512320
74060054614
oct1172514130
9377042773
10166369368
1185a02850
12478726a0
1328610919
141814a344
15e914963
hex9ea9858

166369368 has 64 divisors (see below), whose sum is σ = 455051520. Its totient is φ = 50268800.

The previous prime is 166369363. The next prime is 166369369. The reversal of 166369368 is 863963661.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (166369363) 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 15 ways as a sum of consecutive naturals, for example, 121021 + ... + 122387.

It is an arithmetic number, because the mean of its divisors is an integer number (7110180).

Almost surely, 2166369368 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 166369368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227525760).

166369368 is an abundant number, since it is smaller than the sum of its proper divisors (288682152).

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

166369368 is a wasteful number, since it uses less digits than its factorization.

166369368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1848 (or 1844 counting only the distinct ones).

The product of its digits is 839808, while the sum is 48.

The square root of 166369368 is about 12898.4250201333. The cubic root of 166369368 is about 549.9937938694.

The spelling of 166369368 in words is "one hundred sixty-six million, three hundred sixty-nine thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 461 922 1367 1383 1844 2734 2766 3688 4101 5071 5468 5532 8202 10142 10936 11064 15037 15213 16404 20284 30074 30426 32808 40568 45111 60148 60852 90222 120296 121704 180444 360888 630187 1260374 1890561 2520748 3781122 5041496 6932057 7562244 13864114 15124488 20796171 27728228 41592342 55456456 83184684 166369368