Search a number
-
+
68463954 = 23413192959
BaseRepresentation
bin1000001010010…
…10110101010010
311202211022220000
410011022311102
5120011321304
610443230430
71460635236
oct405126522
9152738800
1068463954
1135711a89
121ab18416
1311251620
1491425c6
156025939
hex414ad52

68463954 has 160 divisors (see below), whose sum is σ = 182952000. Its totient is φ = 18942336.

The previous prime is 68463953. The next prime is 68463959. The reversal of 68463954 is 45936486.

68463954 is a `hidden beast` number, since 6 + 8 + 4 + 639 + 5 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (68463953) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 1160377 + ... + 1160435.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 268463954 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68463954, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91476000).

68463954 is an abundant number, since it is smaller than the sum of its proper divisors (114488046).

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

68463954 is a wasteful number, since it uses less digits than its factorization.

68463954 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 125 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The square root of 68463954 is about 8274.2947735744. The cubic root of 68463954 is about 409.0916913924.

The spelling of 68463954 in words is "sixty-eight million, four hundred sixty-three thousand, nine hundred fifty-four".

Divisors: 1 2 3 6 9 13 18 19 26 27 29 38 39 54 57 58 59 78 81 87 114 117 118 162 171 174 177 234 247 261 342 351 354 377 494 513 522 531 551 702 741 754 767 783 1026 1053 1062 1102 1121 1131 1482 1534 1539 1566 1593 1653 1711 2106 2223 2242 2262 2301 2349 3078 3186 3306 3363 3393 3422 4446 4602 4698 4779 4959 5133 6669 6726 6786 6903 7163 9558 9918 10089 10179 10266 13338 13806 14326 14573 14877 15399 20007 20178 20358 20709 21489 22243 29146 29754 30267 30537 30798 32509 40014 41418 42978 43719 44486 44631 46197 60534 61074 62127 64467 65018 66729 87438 89262 90801 92394 97527 124254 128934 131157 133458 138591 181602 193401 195054 200187 262314 277182 292581 386802 393471 400374 422617 580203 585162 600561 786942 845234 877743 1160406 1180413 1201122 1267851 1755486 1801683 2360826 2535702 2633229 3603366 3803553 5266458 7607106 11410659 22821318 34231977 68463954