Search a number
-
+
168066954 = 233114167103
BaseRepresentation
bin10100000010001…
…11111110001010
3102201020200112000
422001013332022
5321011120304
624402131430
74110355056
oct1201077612
9381220460
10168066954
1186962210
1248350b76
1328a86503
141846cc66
15eb4c939
hexa047f8a

168066954 has 128 divisors (see below), whose sum is σ = 427714560. Its totient is φ = 48470400.

The previous prime is 168066937. The next prime is 168066961. The reversal of 168066954 is 459660861.

It is a Curzon 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 63 ways as a sum of consecutive naturals, for example, 1631667 + ... + 1631769.

It is an arithmetic number, because the mean of its divisors is an integer number (3341520).

Almost surely, 2168066954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 168066954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280).

168066954 is an abundant number, since it is smaller than the sum of its proper divisors (259647606).

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

168066954 is a wasteful number, since it uses less digits than its factorization.

168066954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 168066954 is about 12964.0639461552. The cubic root of 168066954 is about 551.8581275284.

The spelling of 168066954 in words is "one hundred sixty-eight million, sixty-six thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 41 54 66 67 82 99 103 123 134 198 201 206 246 297 309 369 402 451 594 603 618 737 738 902 927 1107 1133 1206 1353 1474 1809 1854 2211 2214 2266 2706 2747 2781 3399 3618 4059 4223 4422 5494 5562 6633 6798 6901 8118 8241 8446 10197 12177 12669 13266 13802 16482 19899 20394 20703 24354 24723 25338 30217 30591 38007 39798 41406 46453 49446 60434 61182 62109 74169 75911 76014 90651 92906 114021 124218 139359 148338 151822 181302 186327 227733 228042 271953 278718 282941 372654 418077 455466 543906 565882 683199 815859 836154 848823 1254231 1366398 1631718 1697646 2049597 2508462 2546469 3112351 4099194 5092938 6224702 7639407 9337053 15278814 18674106 28011159 56022318 84033477 168066954