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1076076 = 223271421
BaseRepresentation
bin100000110101101101100
32000200002200
410012231230
5233413301
635021500
712101151
oct4065554
92020080
101076076
11675521
1243a890
132b8a41
14200228
15163c86
hex106b6c

1076076 has 36 divisors (see below), whose sum is σ = 2764944. Its totient is φ = 352800.

The previous prime is 1076069. The next prime is 1076077. The reversal of 1076076 is 6706701.

It is a tau number, because it is divible by the number of its divisors (36).

It is not an unprimeable number, because it can be changed into a prime (1076077) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2346 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (76804).

21076076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1076076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1382472).

1076076 is an abundant number, since it is smaller than the sum of its proper divisors (1688868).

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

1076076 is a wasteful number, since it uses less digits than its factorization.

1076076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 1076076 is about 1037.3408311640. The cubic root of 1076076 is about 102.4741477534.

The spelling of 1076076 in words is "one million, seventy-six thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 71 142 213 284 421 426 639 842 852 1263 1278 1684 2526 2556 3789 5052 7578 15156 29891 59782 89673 119564 179346 269019 358692 538038 1076076