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1076016 = 24329773
BaseRepresentation
bin100000110101100110000
32000200000110
410012230300
5233413031
635021320
712101034
oct4065460
92020013
101076016
11675477
1243a840
132b89c6
142001c4
15163c46
hex106b30

1076016 has 40 divisors (see below), whose sum is σ = 2879280. Its totient is φ = 345856.

The previous prime is 1076011. The next prime is 1076017. The reversal of 1076016 is 6106701.

It is a junction number, because it is equal to n+sod(n) for n = 1075983 and 1076001.

It is not an unprimeable number, because it can be changed into a prime (1076011) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006 + ... + 1778.

It is an arithmetic number, because the mean of its divisors is an integer number (71982).

21076016 is an apocalyptic number.

1076016 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 1076016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1439640).

1076016 is an abundant number, since it is smaller than the sum of its proper divisors (1803264).

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

1076016 is a wasteful number, since it uses less digits than its factorization.

1076016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 807 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 1076016 is about 1037.3119106614. The cubic root of 1076016 is about 102.4722431286.

The spelling of 1076016 in words is "one million, seventy-six thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 87 116 174 232 348 464 696 773 1392 1546 2319 3092 4638 6184 9276 12368 18552 22417 37104 44834 67251 89668 134502 179336 269004 358672 538008 1076016