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1104264 = 233272313
BaseRepresentation
bin100001101100110001000
32002002202200
410031212020
5240314024
635400200
712246300
oct4154610
92062680
101104264
11694717
12453060
132c8815
1420a600
1516c2c9
hex10d988

1104264 has 72 divisors (see below), whose sum is σ = 3490110. Its totient is φ = 314496.

The previous prime is 1104247. The next prime is 1104289. The reversal of 1104264 is 4624011.

It can be written as a sum of positive squares in only one way, i.e., 1102500 + 1764 = 1050^2 + 42^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3372 + ... + 3684.

21104264 is an apocalyptic number.

1104264 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 1104264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745055).

1104264 is an abundant number, since it is smaller than the sum of its proper divisors (2385846).

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

1104264 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (1104263) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (325).

1104264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 339 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1104264 is about 1050.8396642685. The cubic root of 1104264 is about 103.3612226721.

Adding to 1104264 its reverse (4624011), we get a palindrome (5728275).

The spelling of 1104264 in words is "one million, one hundred four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 313 392 441 504 588 626 882 939 1176 1252 1764 1878 2191 2504 2817 3528 3756 4382 5634 6573 7512 8764 11268 13146 15337 17528 19719 22536 26292 30674 39438 46011 52584 61348 78876 92022 122696 138033 157752 184044 276066 368088 552132 1104264