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112482760 = 235131991087
BaseRepresentation
bin1101011010001…
…01100111001000
321211122201100011
412231011213020
5212243422020
615054521304
72534042035
oct655054710
9254581304
10112482760
1158547a65
1231806234
131a3c4460
1410d2038c
159d1d35a
hex6b459c8

112482760 has 64 divisors (see below), whose sum is σ = 274176000. Its totient is φ = 41285376.

The previous prime is 112482743. The next prime is 112482763. The reversal of 112482760 is 67284211.

It is not an unprimeable number, because it can be changed into a prime (112482763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102937 + ... + 104023.

It is an arithmetic number, because the mean of its divisors is an integer number (4284000).

Almost surely, 2112482760 is an apocalyptic number.

112482760 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 112482760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137088000).

112482760 is an abundant number, since it is smaller than the sum of its proper divisors (161693240).

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

112482760 is a wasteful number, since it uses less digits than its factorization.

112482760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1310 (or 1306 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 112482760 is about 10605.7889852665. The cubic root of 112482760 is about 482.7200317290.

The spelling of 112482760 in words is "one hundred twelve million, four hundred eighty-two thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 199 260 398 520 796 995 1087 1592 1990 2174 2587 3980 4348 5174 5435 7960 8696 10348 10870 12935 14131 20696 21740 25870 28262 43480 51740 56524 70655 103480 113048 141310 216313 282620 432626 565240 865252 1081565 1730504 2163130 2812069 4326260 5624138 8652520 11248276 14060345 22496552 28120690 56241380 112482760