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112374108 = 223371113513
BaseRepresentation
bin1101011001010…
…11000101011100
321211110012022000
412230223011130
5212231432413
615052322300
72533110210
oct654530534
9254405260
10112374108
1158483370
1231773390
131a386b72
1410cd2940
159ceb073
hex6b2b15c

112374108 has 96 divisors (see below), whose sum is σ = 363256320. Its totient is φ = 29185920.

The previous prime is 112374107. The next prime is 112374109. The reversal of 112374108 is 801473211.

112374108 is a `hidden beast` number, since 11 + 237 + 410 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (112374107) and next prime (112374109).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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 (112374107) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1560 + ... + 15072.

It is an arithmetic number, because the mean of its divisors is an integer number (3783920).

Almost surely, 2112374108 is an apocalyptic number.

112374108 is a gapful number since it is divisible by the number (18) 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 112374108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181628160).

112374108 is an abundant number, since it is smaller than the sum of its proper divisors (250882212).

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

112374108 is a wasteful number, since it uses less digits than its factorization.

112374108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13544 (or 13536 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 112374108 is about 10600.6654508102. The cubic root of 112374108 is about 482.5645548856.

The spelling of 112374108 in words is "one hundred twelve million, three hundred seventy-four thousand, one hundred eight".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 27 28 33 36 42 44 54 63 66 77 84 99 108 126 132 154 189 198 231 252 297 308 378 396 462 594 693 756 924 1188 1386 2079 2772 4158 8316 13513 27026 40539 54052 81078 94591 121617 148643 162156 189182 243234 283773 297286 364851 378364 445929 486468 567546 594572 729702 851319 891858 1040501 1135092 1337787 1459404 1702638 1783716 2081002 2553957 2675574 3121503 3405276 4013361 4162004 5107914 5351148 6243006 8026722 9364509 10215828 12486012 16053444 18729018 28093527 37458036 56187054 112374108