Search a number
-
+
112666302 = 2347731361
BaseRepresentation
bin1101011011100…
…10011010111110
321212000001010000
412231302122332
5212320310202
615102455130
72535435120
oct655623276
9255001100
10112666302
1158662951
12318944a6
131a459b68
1410d6b210
159d5791c
hex6b726be

112666302 has 80 divisors (see below), whose sum is σ = 292688352. Its totient is φ = 31726080.

The previous prime is 112666289. The next prime is 112666303. The reversal of 112666302 is 203666211.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112666303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82102 + ... + 83462.

Almost surely, 2112666302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112666302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146344176).

112666302 is an abundant number, since it is smaller than the sum of its proper divisors (180022050).

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

112666302 is a wasteful number, since it uses less digits than its factorization.

112666302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1446 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 112666302 is about 10614.4383742146. The cubic root of 112666302 is about 482.9824460269.

Subtracting 112666302 from its reverse (203666211), we obtain a palindrome (90999909).

The spelling of 112666302 in words is "one hundred twelve million, six hundred sixty-six thousand, three hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 73 81 126 146 162 189 219 378 438 511 567 657 1022 1134 1314 1361 1533 1971 2722 3066 3942 4083 4599 5913 8166 9198 9527 11826 12249 13797 19054 24498 27594 28581 36747 41391 57162 73494 82782 85743 99353 110241 171486 198706 220482 257229 298059 514458 596118 695471 771687 894177 1390942 1543374 1788354 2086413 2682531 4172826 5365062 6259239 8047593 12518478 16095186 18777717 37555434 56333151 112666302