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112671384 = 2337313687
BaseRepresentation
bin1101011011100…
…11101010011000
321212000022002020
412231303222120
5212320441014
615102534440
72535456000
oct655635230
9255008066
10112671384
1158666751
1231897420
131a45c277
1410d6d000
159d591a9
hex6b73a98

112671384 has 64 divisors (see below), whose sum is σ = 328512000. Its totient is φ = 32189472.

The previous prime is 112671353. The next prime is 112671389. The reversal of 112671384 is 483176211.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112671389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1389 + ... + 15075.

It is an arithmetic number, because the mean of its divisors is an integer number (5133000).

Almost surely, 2112671384 is an apocalyptic number.

112671384 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 112671384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164256000).

112671384 is an abundant number, since it is smaller than the sum of its proper divisors (215840616).

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

112671384 is a wasteful number, since it uses less digits than its factorization.

112671384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13717 (or 13699 counting only the distinct ones).

The product of its digits is 8064, while the sum is 33.

The square root of 112671384 is about 10614.6777624194. The cubic root of 112671384 is about 482.9897078252.

The spelling of 112671384 in words is "one hundred twelve million, six hundred seventy-one thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 343 392 588 686 1029 1176 1372 2058 2744 4116 8232 13687 27374 41061 54748 82122 95809 109496 164244 191618 287427 328488 383236 574854 670663 766472 1149708 1341326 2011989 2299416 2682652 4023978 4694641 5365304 8047956 9389282 14083923 16095912 18778564 28167846 37557128 56335692 112671384