Search a number
-
+
121168026 = 23273167463
BaseRepresentation
bin1110011100011…
…10000010011010
322102222222021200
413032032002122
5222004334101
620005015030
73000624360
oct716160232
9272888250
10121168026
116243a371
12346b4476
131c145775
1412141630
15a986986
hex738e09a

121168026 has 96 divisors (see below), whose sum is σ = 315015168. Its totient is φ = 32931360.

The previous prime is 121168009. The next prime is 121168039. The reversal of 121168026 is 620861121.

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 47 ways as a sum of consecutive naturals, for example, 261471 + ... + 261933.

It is an arithmetic number, because the mean of its divisors is an integer number (3281408).

Almost surely, 2121168026 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121168026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157507584).

121168026 is an abundant number, since it is smaller than the sum of its proper divisors (193847142).

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

121168026 is a wasteful number, since it uses less digits than its factorization.

121168026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 121168026 is about 11007.6348958348. The cubic root of 121168026 is about 494.8375836906.

The spelling of 121168026 in words is "one hundred twenty-one million, one hundred sixty-eight thousand, twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 67 93 126 134 186 201 217 279 402 434 463 469 558 603 651 926 938 1206 1302 1389 1407 1953 2077 2778 2814 3241 3906 4154 4167 4221 6231 6482 8334 8442 9723 12462 14353 14539 18693 19446 28706 29078 29169 31021 37386 43059 43617 58338 62042 86118 87234 93063 100471 129177 130851 186126 200942 217147 258354 261702 279189 301413 434294 558378 602826 651441 904239 961651 1302882 1808478 1923302 1954323 2884953 3908646 5769906 6731557 8654859 13463114 17309718 20194671 40389342 60584013 121168026