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1029854112 = 253719791021
BaseRepresentation
bin111101011000100…
…101001110100000
32122202212000020220
4331120211032200
54102120312422
6250105203040
734343421060
oct7530451640
92582760226
101029854112
11489364701
12248a90480
13135490941
149aabd3a0
156062be5c
hex3d6253a0

1029854112 has 192 divisors, whose sum is σ = 3296563200. Its totient is φ = 274959360.

The previous prime is 1029854087. The next prime is 1029854129. The reversal of 1029854112 is 2114589201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1008162 + ... + 1009182.

It is an arithmetic number, because the mean of its divisors is an integer number (17169600).

Almost surely, 21029854112 is an apocalyptic number.

1029854112 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 1029854112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648281600).

1029854112 is an abundant number, since it is smaller than the sum of its proper divisors (2266709088).

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

1029854112 is a wasteful number, since it uses less digits than its factorization.

1029854112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139 (or 1131 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 33.

The square root of 1029854112 is about 32091.3401402933. The cubic root of 1029854112 is about 1009.8539513684.

The spelling of 1029854112 in words is "one billion, twenty-nine million, eight hundred fifty-four thousand, one hundred twelve".