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11405004 = 22313292521
BaseRepresentation
bin101011100000…
…011011001100
3210110102201120
4223200123030
510404430004
61044240540
7165640512
oct53403314
923412646
1011405004
11648a826
1239a0150
132494230
14172c4b2
1510043d9
hexae06cc

11405004 has 48 divisors (see below), whose sum is σ = 29658720. Its totient is φ = 3386880.

The previous prime is 11404999. The next prime is 11405029. The reversal of 11405004 is 40050411.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3264 + ... + 5784.

It is an arithmetic number, because the mean of its divisors is an integer number (617890).

Almost surely, 211405004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11405004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14829360).

11405004 is an abundant number, since it is smaller than the sum of its proper divisors (18253716).

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

11405004 is a wasteful number, since it uses less digits than its factorization.

11405004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2570 (or 2568 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 11405004 is about 3377.1295503726. The cubic root of 11405004 is about 225.0946367327.

Adding to 11405004 its reverse (40050411), we get a palindrome (51455415).

The spelling of 11405004 in words is "eleven million, four hundred five thousand, four".

Divisors: 1 2 3 4 6 12 13 26 29 39 52 58 78 87 116 156 174 348 377 754 1131 1508 2262 2521 4524 5042 7563 10084 15126 30252 32773 65546 73109 98319 131092 146218 196638 219327 292436 393276 438654 877308 950417 1900834 2851251 3801668 5702502 11405004