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1076416 = 26112139
BaseRepresentation
bin100000110110011000000
32000200120021
410012303000
5233421131
635023224
712102145
oct4066300
92020507
101076416
11675800
1243ab14
132b8c43
142003cc
15163e11
hex106cc0

1076416 has 42 divisors (see below), whose sum is σ = 2364740. Its totient is φ = 485760.

The previous prime is 1076401. The next prime is 1076417. The reversal of 1076416 is 6146701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1076417) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 7675 + ... + 7813.

21076416 is an apocalyptic number.

1076416 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 1076416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182370).

1076416 is an abundant number, since it is smaller than the sum of its proper divisors (1288324).

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

1076416 is a wasteful number, since it uses less digits than its factorization.

1076416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 1076416 is about 1037.5046987845. The cubic root of 1076416 is about 102.4849392903.

The spelling of 1076416 in words is "one million, seventy-six thousand, four hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 139 176 242 278 352 484 556 704 968 1112 1529 1936 2224 3058 3872 4448 6116 7744 8896 12232 16819 24464 33638 48928 67276 97856 134552 269104 538208 1076416