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1126016 = 2719463
BaseRepresentation
bin100010010111010000000
32010012121022
410102322000
5242013031
640045012
712366563
oct4227200
92105538
101126016
116a9aa1
12463768
133056a8
142144da
1517397b
hex112e80

1126016 has 32 divisors (see below), whose sum is σ = 2366400. Its totient is φ = 532224.

The previous prime is 1125991. The next prime is 1126031. The reversal of 1126016 is 6106211.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 1125985 and 1126003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2201 + ... + 2663.

It is an arithmetic number, because the mean of its divisors is an integer number (73950).

21126016 is an apocalyptic number.

1126016 is a gapful number since it is divisible by the number (16) 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 1126016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1183200).

1126016 is an abundant number, since it is smaller than the sum of its proper divisors (1240384).

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

1126016 is an equidigital number, since it uses as much as digits as its factorization.

1126016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 496 (or 484 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 17.

The square root of 1126016 is about 1061.1390106862. The cubic root of 1126016 is about 104.0354908457.

The spelling of 1126016 in words is "one million, one hundred twenty-six thousand, sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 304 463 608 926 1216 1852 2432 3704 7408 8797 14816 17594 29632 35188 59264 70376 140752 281504 563008 1126016