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1104004104 = 233725771627
BaseRepresentation
bin100000111001101…
…1100010000001000
32211221101012220220
41001303130100020
54230111112404
6301314350040
736233610600
oct10163342010
92757335826
101104004104
115171aa695
1226988b320
13147953388
14a68a1c00
1566dc74d9
hex41cdc408

1104004104 has 96 divisors (see below), whose sum is σ = 3218165280. Its totient is φ = 314689536.

The previous prime is 1104004081. The next prime is 1104004127. The reversal of 1104004104 is 4014004011.

It is an interprime number because it is at equal distance from previous prime (1104004081) and next prime (1104004127).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 677739 + ... + 679365.

It is an arithmetic number, because the mean of its divisors is an integer number (33522555).

Almost surely, 21104004104 is an apocalyptic number.

1104004104 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 1104004104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609082640).

1104004104 is an abundant number, since it is smaller than the sum of its proper divisors (2114161176).

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

1104004104 is a wasteful number, since it uses less digits than its factorization.

1104004104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2227 (or 2216 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 1104004104 is about 33226.5572095575. The cubic root of 1104004104 is about 1033.5311311494.

Adding to 1104004104 its reverse (4014004011), we get a palindrome (5118008115).

The spelling of 1104004104 in words is "one billion, one hundred four million, four thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 577 588 1154 1176 1627 1731 2308 3254 3462 4039 4616 4881 6508 6924 8078 9762 11389 12117 13016 13848 16156 19524 22778 24234 28273 32312 34167 39048 45556 48468 56546 68334 79723 84819 91112 96936 113092 136668 159446 169638 226184 239169 273336 318892 339276 478338 637784 678552 938779 956676 1877558 1913352 2816337 3755116 5632674 6571453 7510232 11265348 13142906 19714359 22530696 26285812 39428718 46000171 52571624 78857436 92000342 138000513 157714872 184000684 276001026 368001368 552002052 1104004104