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112147272 = 233219731123
BaseRepresentation
bin1101010111100…
…11101101001000
321211000200010200
412223303231020
5212202203042
615043412200
72531143656
oct653635510
9254020120
10112147272
11583389a6
1231684060
131a307843
1410c73dd6
159ca3c4c
hex6af3b48

112147272 has 96 divisors (see below), whose sum is σ = 324386400. Its totient is φ = 34898688.

The previous prime is 112147271. The next prime is 112147289. The reversal of 112147272 is 272741211.

It is a happy number.

112147272 is a `hidden beast` number, since 1 + 121 + 472 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (112147271) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99303 + ... + 100425.

It is an arithmetic number, because the mean of its divisors is an integer number (3379025).

Almost surely, 2112147272 is an apocalyptic number.

112147272 is a gapful number since it is divisible by the number (12) 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 112147272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162193200).

112147272 is an abundant number, since it is smaller than the sum of its proper divisors (212239128).

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

112147272 is a wasteful number, since it uses less digits than its factorization.

112147272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1227 (or 1220 counting only the distinct ones).

The product of its digits is 1568, while the sum is 27.

The square root of 112147272 is about 10589.9609064434. The cubic root of 112147272 is about 482.2396379592.

Adding to 112147272 its reverse (272741211), we get a palindrome (384888483).

The spelling of 112147272 in words is "one hundred twelve million, one hundred forty-seven thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 73 76 114 146 152 171 219 228 292 342 438 456 584 657 684 876 1123 1314 1368 1387 1752 2246 2628 2774 3369 4161 4492 5256 5548 6738 8322 8984 10107 11096 12483 13476 16644 20214 21337 24966 26952 33288 40428 42674 49932 64011 80856 81979 85348 99864 128022 163958 170696 192033 245937 256044 327916 384066 491874 512088 655832 737811 768132 983748 1475622 1536264 1557601 1967496 2951244 3115202 4672803 5902488 6230404 9345606 12460808 14018409 18691212 28036818 37382424 56073636 112147272