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11313504 = 2532163241
BaseRepresentation
bin101011001010…
…000101100000
3210021210012200
4223022011200
510344013004
61042253200
7165106656
oct53120540
923253180
1011313504
116428004
123957200
1324616a7
141706dd6
15ed7239
hexaca160

11313504 has 72 divisors (see below), whose sum is σ = 32504472. Its totient is φ = 3732480.

The previous prime is 11313473. The next prime is 11313521. The reversal of 11313504 is 40531311.

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 46824 + ... + 47064.

It is an arithmetic number, because the mean of its divisors is an integer number (451451).

Almost surely, 211313504 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 11313504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16252236).

11313504 is an abundant number, since it is smaller than the sum of its proper divisors (21190968).

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

11313504 is a wasteful number, since it uses less digits than its factorization.

11313504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 409 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 11313504 is about 3363.5552619215. Note that the first 3 decimals coincide. The cubic root of 11313504 is about 224.4910570625.

Adding to 11313504 its reverse (40531311), we get a palindrome (51844815).

The spelling of 11313504 in words is "eleven million, three hundred thirteen thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 163 241 288 326 482 489 652 723 964 978 1304 1446 1467 1928 1956 2169 2608 2892 2934 3856 3912 4338 5216 5784 5868 7712 7824 8676 11568 11736 15648 17352 23136 23472 34704 39283 46944 69408 78566 117849 157132 235698 314264 353547 471396 628528 707094 942792 1257056 1414188 1885584 2828376 3771168 5656752 11313504