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1114048 = 26132103
BaseRepresentation
bin100001111111111000000
32002121012001
410033333000
5241122143
635513344
712316645
oct4177700
92077161
101114048
116a1001
12458854
13300100
1420ddcc
1517014d
hex10ffc0

1114048 has 42 divisors (see below), whose sum is σ = 2417064. Its totient is φ = 509184.

The previous prime is 1114039. The next prime is 1114049. The reversal of 1114048 is 8404111.

1114048 is nontrivially palindromic in base 12.

It is a super-2 number, since 2×11140482 = 2482205892608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1114049) 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 5 ways as a sum of consecutive naturals, for example, 10765 + ... + 10867.

21114048 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 1114048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1208532).

1114048 is an abundant number, since it is smaller than the sum of its proper divisors (1303016).

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

1114048 is a wasteful number, since it uses less digits than its factorization.

1114048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

The square root of 1114048 is about 1055.4847227696. The cubic root of 1114048 is about 103.6655925466.

Adding to 1114048 its reverse (8404111), we get a palindrome (9518159).

The spelling of 1114048 in words is "one million, one hundred fourteen thousand, forty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 103 104 169 206 208 338 412 416 676 824 832 1339 1352 1648 2678 2704 3296 5356 5408 6592 10712 10816 17407 21424 34814 42848 69628 85696 139256 278512 557024 1114048