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1118112 = 25319613
BaseRepresentation
bin100010000111110100000
32002210202120
410100332200
5241234422
635544240
712334542
oct4207640
92083676
101118112
116a4066
1245b080
13301c08
14211692
1517145c
hex110fa0

1118112 has 48 divisors (see below), whose sum is σ = 3094560. Its totient is φ = 352512.

The previous prime is 1118101. The next prime is 1118113. The reversal of 1118112 is 2118111.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1118091 and 1118100.

It is not an unprimeable number, because it can be changed into a prime (1118113) 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, 1518 + ... + 2130.

It is an arithmetic number, because the mean of its divisors is an integer number (64470).

21118112 is an apocalyptic number.

1118112 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 1118112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1547280).

1118112 is an abundant number, since it is smaller than the sum of its proper divisors (1976448).

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

1118112 is a wasteful number, since it uses less digits than its factorization.

1118112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 637 counting only the distinct ones).

The product of its digits is 16, while the sum is 15.

The square root of 1118112 is about 1057.4081520397. The cubic root of 1118112 is about 103.7914954738.

Subtracting 1118112 from its reverse (2118111), we obtain a palindrome (999999).

The spelling of 1118112 in words is "one million, one hundred eighteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 76 96 114 152 228 304 456 608 613 912 1226 1824 1839 2452 3678 4904 7356 9808 11647 14712 19616 23294 29424 34941 46588 58848 69882 93176 139764 186352 279528 372704 559056 1118112