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1104004240 = 245311992237
BaseRepresentation
bin100000111001101…
…1100010010010000
32211221101020002221
41001303130102100
54230111113430
6301314350424
736233611153
oct10163342220
92757336087
101104004240
115171aa7a9
1226988b414
13147953461
14a68a1c9a
1566dc757a
hex41cdc490

1104004240 has 80 divisors (see below), whose sum is σ = 2664115200. Its totient is φ = 425018880.

The previous prime is 1104004207. The next prime is 1104004243. The reversal of 1104004240 is 424004011.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is not an unprimeable number, because it can be changed into a prime (1104004243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 492402 + ... + 494638.

It is an arithmetic number, because the mean of its divisors is an integer number (33301440).

Almost surely, 21104004240 is an apocalyptic number.

1104004240 is a gapful number since it is divisible by the number (10) 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 1104004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1332057600).

1104004240 is an abundant number, since it is smaller than the sum of its proper divisors (1560110960).

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

1104004240 is a wasteful number, since it uses less digits than its factorization.

1104004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2480 (or 2474 counting only the distinct ones).

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

The square root of 1104004240 is about 33226.5592561132. The cubic root of 1104004240 is about 1033.5311735890.

Adding to 1104004240 its reverse (424004011), we get a palindrome (1528008251).

The spelling of 1104004240 in words is "one billion, one hundred four million, four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 31 40 62 80 124 155 199 248 310 398 496 620 796 995 1240 1592 1990 2237 2480 3184 3980 4474 6169 7960 8948 11185 12338 15920 17896 22370 24676 30845 35792 44740 49352 61690 69347 89480 98704 123380 138694 178960 246760 277388 346735 445163 493520 554776 693470 890326 1109552 1386940 1780652 2225815 2773880 3561304 4451630 5547760 7122608 8903260 13800053 17806520 27600106 35613040 55200212 69000265 110400424 138000530 220800848 276001060 552002120 1104004240