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1028132112 = 243723159239
BaseRepresentation
bin111101010010000…
…000110100010000
32122122121112010010
4331102000310100
54101200211422
6250004234520
734322656500
oct7522006420
92578545103
101028132112
11488398967
1224839ba40
13135009bc7
149a791a00
15603dbb0c
hex3d480d10

1028132112 has 240 divisors, whose sum is σ = 3256934400. Its totient is φ = 278288640.

The previous prime is 1028132111. The next prime is 1028132129. The reversal of 1028132112 is 2112318201.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (1028132111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4301689 + ... + 4301927.

It is an arithmetic number, because the mean of its divisors is an integer number (13570560).

Almost surely, 21028132112 is an apocalyptic number.

1028132112 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 1028132112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628467200).

1028132112 is an abundant number, since it is smaller than the sum of its proper divisors (2228802288).

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

1028132112 is a wasteful number, since it uses less digits than its factorization.

1028132112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 1028132112 is about 32064.4992476103. The cubic root of 1028132112 is about 1009.2907846642.

The spelling of 1028132112 in words is "one billion, twenty-eight million, one hundred thirty-two thousand, one hundred twelve".