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112028832 = 253514407
BaseRepresentation
bin1101010110101…
…10110010100000
321210210122200000
412223112302200
5212134410312
615041100000
72530141446
oct653266240
9253718600
10112028832
1158267a13
1231627600
131a295966
1410c42b96
159c7dadc
hex6ad6ca0

112028832 has 72 divisors (see below), whose sum is σ = 330404256. Its totient is φ = 37340352.

The previous prime is 112028831. The next prime is 112028867. The reversal of 112028832 is 238820211.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 112028796 and 112028805.

It is not an unprimeable number, because it can be changed into a prime (112028831) 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 11 ways as a sum of consecutive naturals, for example, 573 + ... + 14979.

It is an arithmetic number, because the mean of its divisors is an integer number (4588948).

Almost surely, 2112028832 is an apocalyptic number.

112028832 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 112028832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165202128).

112028832 is an abundant number, since it is smaller than the sum of its proper divisors (218375424).

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

112028832 is an equidigital number, since it uses as much as digits as its factorization.

112028832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14432 (or 14412 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 112028832 is about 10584.3673405641. The cubic root of 112028832 is about 482.0698119182.

The spelling of 112028832 in words is "one hundred twelve million, twenty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 14407 28814 43221 57628 86442 115256 129663 172884 230512 259326 345768 388989 461024 518652 691536 777978 1037304 1166967 1383072 1555956 2074608 2333934 3111912 3500901 4149216 4667868 6223824 7001802 9335736 12447648 14003604 18671472 28007208 37342944 56014416 112028832