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112440006 = 23272177499
BaseRepresentation
bin1101011001110…
…11001011000110
321211120112200200
412230323023012
5212241040011
615053551330
72533503300
oct654731306
9254515620
10112440006
1158518928
12317a5546
131a3aab63
1410d0c970
159d10856
hex6b3b2c6

112440006 has 72 divisors (see below), whose sum is σ = 300105000. Its totient is φ = 30231936.

The previous prime is 112439993. The next prime is 112440037. The reversal of 112440006 is 600044211.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 11245 + ... + 18743.

It is an arithmetic number, because the mean of its divisors is an integer number (4168125).

Almost surely, 2112440006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112440006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150052500).

112440006 is an abundant number, since it is smaller than the sum of its proper divisors (187664994).

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

112440006 is a wasteful number, since it uses less digits than its factorization.

112440006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7538 (or 7528 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 112440006 is about 10603.7731963674. The cubic root of 112440006 is about 482.6588643477.

Adding to 112440006 its reverse (600044211), we get a palindrome (712484217).

The spelling of 112440006 in words is "one hundred twelve million, four hundred forty thousand, six".

Divisors: 1 2 3 6 7 9 14 17 18 21 34 42 49 51 63 98 102 119 126 147 153 238 294 306 357 441 714 833 882 1071 1666 2142 2499 4998 7497 7499 14994 14998 22497 44994 52493 67491 104986 127483 134982 157479 254966 314958 367451 382449 472437 734902 764898 892381 944874 1102353 1147347 1784762 2204706 2294694 2677143 3307059 5354286 6246667 6614118 8031429 12493334 16062858 18740001 37480002 56220003 112440006