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112311240 = 23355317659
BaseRepresentation
bin1101011000110…
…11101111001000
321211100000001120
412230123233020
5212222424430
615051115240
72532426006
oct654335710
9254300046
10112311240
1158440108
1231742b20
131a364372
1410cb7a76
159cd7610
hex6b1bbc8

112311240 has 64 divisors (see below), whose sum is σ = 343310400. Its totient is φ = 29382912.

The previous prime is 112311239. The next prime is 112311253. The reversal of 112311240 is 42113211.

It is a super-2 number, since 2×1123112402 = 25227629260675200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2470 + ... + 15189.

It is an arithmetic number, because the mean of its divisors is an integer number (5364225).

Almost surely, 2112311240 is an apocalyptic number.

112311240 is a gapful number since it is divisible by the number (10) 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 112311240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171655200).

112311240 is an abundant number, since it is smaller than the sum of its proper divisors (230999160).

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

112311240 is a wasteful number, since it uses less digits than its factorization.

112311240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17726 (or 17722 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 112311240 is about 10597.6997504175. The cubic root of 112311240 is about 482.4745474148.

Adding to 112311240 its reverse (42113211), we get a palindrome (154424451).

The spelling of 112311240 in words is "one hundred twelve million, three hundred eleven thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 2120 3180 6360 17659 35318 52977 70636 88295 105954 141272 176590 211908 264885 353180 423816 529770 706360 935927 1059540 1871854 2119080 2807781 3743708 4679635 5615562 7487416 9359270 11231124 14038905 18718540 22462248 28077810 37437080 56155620 112311240