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1076112 = 24334753
BaseRepresentation
bin100000110101110010000
32000200011000
410012232100
5233413422
635022000
712101232
oct4065620
92020130
101076112
11675554
1243a900
132b8a6b
14200252
15163cac
hex106b90

1076112 has 80 divisors (see below), whose sum is σ = 3214080. Its totient is φ = 344448.

The previous prime is 1076111. The next prime is 1076113. The reversal of 1076112 is 2116701.

1076112 is an esthetic number in base 7, because in such base its adjacent digits differ by 1.

It is an interprime number because it is at equal distance from previous prime (1076111) and next prime (1076113).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1076111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20278 + ... + 20330.

It is an arithmetic number, because the mean of its divisors is an integer number (40176).

21076112 is an apocalyptic number.

1076112 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 1076112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607040).

1076112 is an abundant number, since it is smaller than the sum of its proper divisors (2137968).

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

1076112 is a wasteful number, since it uses less digits than its factorization.

1076112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 1076112 is about 1037.3581830785. The cubic root of 1076112 is about 102.4752904943.

The spelling of 1076112 in words is "one million, seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 47 48 53 54 72 94 106 108 141 144 159 188 212 216 282 318 376 423 424 432 477 564 636 752 846 848 954 1128 1269 1272 1431 1692 1908 2256 2491 2538 2544 2862 3384 3816 4982 5076 5724 6768 7473 7632 9964 10152 11448 14946 19928 20304 22419 22896 29892 39856 44838 59784 67257 89676 119568 134514 179352 269028 358704 538056 1076112