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111671742 = 237131753227
BaseRepresentation
bin1101010011111…
…11100110111110
321210010111211110
412221333212332
5212041443432
615025302450
72524123410
oct651774676
9253114743
10111671742
11580436a6
1231494a26
131a19c270
1410b8c9b0
159c0cdcc
hex6a7f9be

111671742 has 128 divisors (see below), whose sum is σ = 297851904. Its totient is φ = 27076608.

The previous prime is 111671737. The next prime is 111671743. The reversal of 111671742 is 247176111.

It is a super-2 number, since 2×1116717422 = 24941155922629128, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111671743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 491833 + ... + 492059.

It is an arithmetic number, because the mean of its divisors is an integer number (2326968).

Almost surely, 2111671742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111671742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148925952).

111671742 is an abundant number, since it is smaller than the sum of its proper divisors (186180162).

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

111671742 is a wasteful number, since it uses less digits than its factorization.

111671742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322.

The product of its digits is 2352, while the sum is 30.

The square root of 111671742 is about 10567.4851312883. The cubic root of 111671742 is about 481.5570702997.

The spelling of 111671742 in words is "one hundred eleven million, six hundred seventy-one thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 42 51 53 78 91 102 106 119 159 182 221 227 238 273 318 357 371 442 454 546 663 681 689 714 742 901 1113 1326 1362 1378 1547 1589 1802 2067 2226 2703 2951 3094 3178 3859 4134 4641 4767 4823 5406 5902 6307 7718 8853 9282 9534 9646 11577 11713 12031 12614 14469 17706 18921 20657 23154 23426 24062 27013 28938 35139 36093 37842 41314 50167 54026 61971 70278 72186 81039 81991 84217 100334 123942 150501 156403 162078 163982 168434 204527 245973 252651 301002 312806 351169 409054 469209 491946 505302 613581 702338 938418 1053507 1094821 1227162 1431689 2107014 2189642 2658851 2863378 3284463 4295067 5317702 6568926 7976553 8590134 15953106 18611957 37223914 55835871 111671742