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1104042400 = 25521380053
BaseRepresentation
bin100000111001110…
…0101100110100000
32211221110011110021
41001303211212200
54230113324100
6301315243224
736234130336
oct10163454640
92757404407
101104042400
1151722643a
122698a9514
13147967936
14a68b1b56
1566dd3a1a
hex41ce59a0

1104042400 has 36 divisors (see below), whose sum is σ = 2695245462. Its totient is φ = 441616640.

The previous prime is 1104042391. The next prime is 1104042451. The reversal of 1104042400 is 42404011.

It can be written as a sum of positive squares in 3 ways, for example, as 854275984 + 249766416 = 29228^2 + 15804^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 689227 + ... + 690826.

Almost surely, 21104042400 is an apocalyptic number.

1104042400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1104042400 is an abundant number, since it is smaller than the sum of its proper divisors (1591203062).

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

1104042400 is a wasteful number, since it uses less digits than its factorization.

1104042400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1380073 (or 1380060 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 1104042400 is about 33227.1334905676. The cubic root of 1104042400 is about 1033.5430814826.

Adding to 1104042400 its reverse (42404011), we get a palindrome (1146446411).

The spelling of 1104042400 in words is "one billion, one hundred four million, forty-two thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 1380053 2760106 5520212 6900265 11040424 13800530 22080848 27601060 34501325 44161696 55202120 69002650 110404240 138005300 220808480 276010600 552021200 1104042400