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112287084 = 223713312107
BaseRepresentation
bin1101011000101…
…01110101101100
321211021202220220
412230111311230
5212221141314
615050411340
72532265410
oct654256554
9254252826
10112287084
1158423a48
1231730b50
131a356380
1410cacd40
159cd03a9
hex6b15d6c

112287084 has 144 divisors (see below), whose sum is σ = 336317184. Its totient is φ = 28391040.

The previous prime is 112287079. The next prime is 112287121. The reversal of 112287084 is 480782211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1049359 + ... + 1049465.

It is an arithmetic number, because the mean of its divisors is an integer number (2335536).

Almost surely, 2112287084 is an apocalyptic number.

112287084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112287084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168158592).

112287084 is an abundant number, since it is smaller than the sum of its proper divisors (224030100).

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

112287084 is a wasteful number, since it uses less digits than its factorization.

112287084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 33.

The square root of 112287084 is about 10596.5600078516. The cubic root of 112287084 is about 482.4399545850.

The spelling of 112287084 in words is "one hundred twelve million, two hundred eighty-seven thousand, eighty-four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 52 62 78 84 91 93 107 124 156 182 186 214 217 273 321 364 372 403 428 434 546 642 651 749 806 868 961 1092 1209 1284 1302 1391 1498 1612 1922 2247 2418 2604 2782 2821 2883 2996 3317 3844 4173 4494 4836 5564 5642 5766 6634 6727 8346 8463 8988 9737 9951 11284 11532 12493 13268 13454 16692 16926 19474 19902 20181 23219 24986 26908 29211 33852 37479 38948 39804 40362 43121 46438 49972 58422 69657 74958 80724 86242 87451 92876 102827 116844 129363 139314 149916 172484 174902 205654 258726 262353 278628 301847 308481 349804 411308 517452 524706 603694 616962 719789 905541 1049412 1207388 1233924 1336751 1439578 1811082 2159367 2673502 2879156 3622164 4010253 4318734 5347004 8020506 8637468 9357257 16041012 18714514 28071771 37429028 56143542 112287084