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112505274 = 2347214173
BaseRepresentation
bin1101011010010…
…11000110111010
321211200212020000
412231023012322
5212300132044
615055213430
72534164500
oct655130672
9254625200
10112505274
1158562972
1231817276
131a40178b
1410d28670
159d24d69
hex6b4b1ba

112505274 has 60 divisors (see below), whose sum is σ = 293274234. Its totient is φ = 32142096.

The previous prime is 112505249. The next prime is 112505291. The reversal of 112505274 is 472505211.

It can be written as a sum of positive squares in only one way, i.e., 76685049 + 35820225 = 8757^2 + 5985^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 852 + ... + 15024.

Almost surely, 2112505274 is an apocalyptic number.

112505274 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112505274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146637117).

112505274 is an abundant number, since it is smaller than the sum of its proper divisors (180768960).

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

112505274 is a wasteful number, since it uses less digits than its factorization.

112505274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14201 (or 14185 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The square root of 112505274 is about 10606.8503336287. The cubic root of 112505274 is about 482.7522358753.

The spelling of 112505274 in words is "one hundred twelve million, five hundred five thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 14173 28346 42519 85038 99211 127557 198422 255114 297633 382671 595266 694477 765342 892899 1148013 1388954 1785798 2083431 2296026 2678697 4166862 5357394 6250293 8036091 12500586 16072182 18750879 37501758 56252637 112505274