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1133104 = 24767151
BaseRepresentation
bin100010100101000110000
32010120022211
410110220300
5242224404
640141504
712426340
oct4245060
92116284
101133104
11704355
12467894
1330899b
14216d20
15175b04
hex114a30

1133104 has 40 divisors (see below), whose sum is σ = 2563328. Its totient is φ = 475200.

The previous prime is 1133071. The next prime is 1133131. The reversal of 1133104 is 4013311.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7429 + ... + 7579.

21133104 is an apocalyptic number.

1133104 is a gapful number since it is divisible by the number (14) 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 1133104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1281664).

1133104 is an abundant number, since it is smaller than the sum of its proper divisors (1430224).

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

1133104 is a wasteful number, since it uses less digits than its factorization.

1133104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1133104 is about 1064.4735788172. The cubic root of 1133104 is about 104.2533272080.

Adding to 1133104 its reverse (4013311), we get a palindrome (5146415).

The spelling of 1133104 in words is "one million, one hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 67 112 134 151 268 302 469 536 604 938 1057 1072 1208 1876 2114 2416 3752 4228 7504 8456 10117 16912 20234 40468 70819 80936 141638 161872 283276 566552 1133104