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1014112 = 25114367
BaseRepresentation
bin11110111100101100000
31220112002201
43313211200
5224422422
633422544
711422411
oct3674540
91815081
101014112
11632a10
1240aa54
13296788
141c5808
15150727
hexf7960

1014112 has 48 divisors (see below), whose sum is σ = 2261952. Its totient is φ = 443520.

The previous prime is 1014089. The next prime is 1014113. The reversal of 1014112 is 2114101.

1014112 is nontrivially palindromic in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1014113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15103 + ... + 15169.

It is an arithmetic number, because the mean of its divisors is an integer number (47124).

21014112 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 1014112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130976).

1014112 is an abundant number, since it is smaller than the sum of its proper divisors (1247840).

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

1014112 is a wasteful number, since it uses less digits than its factorization.

1014112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

The square root of 1014112 is about 1007.0312805469. The cubic root of 1014112 is about 100.4682044249.

Adding to 1014112 its reverse (2114101), we get a palindrome (3128213).

It can be divided in two parts, 10141 and 12, that added together give a triangular number (10153 = T142).

The spelling of 1014112 in words is "one million, fourteen thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 43 44 67 86 88 134 172 176 268 344 352 473 536 688 737 946 1072 1376 1474 1892 2144 2881 2948 3784 5762 5896 7568 11524 11792 15136 23048 23584 31691 46096 63382 92192 126764 253528 507056 1014112