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11003904 = 21133199
BaseRepresentation
bin101001111110…
…100000000000
3202201001112000
4221332200000
510304111104
61031504000
7162350232
oct51764000
922631460
1011003904
11623643a
123828000
1323837b2
141666252
15e75639
hexa7e800

11003904 has 96 divisors (see below), whose sum is σ = 32760000. Its totient is φ = 3649536.

The previous prime is 11003903. The next prime is 11003917. The reversal of 11003904 is 40930011.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (11003903) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55197 + ... + 55395.

It is an arithmetic number, because the mean of its divisors is an integer number (341250).

Almost surely, 211003904 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 11003904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16380000).

11003904 is an abundant number, since it is smaller than the sum of its proper divisors (21756096).

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

11003904 is an equidigital number, since it uses as much as digits as its factorization.

11003904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230 (or 204 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 11003904 is about 3317.2132882888. The cubic root of 11003904 is about 222.4243163034.

Adding to 11003904 its reverse (40930011), we get a palindrome (51933915).

The spelling of 11003904 in words is "eleven million, three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 199 216 256 288 384 398 432 512 576 597 768 796 864 1024 1152 1194 1536 1592 1728 1791 2048 2304 2388 3072 3184 3456 3582 4608 4776 5373 6144 6368 6912 7164 9216 9552 10746 12736 13824 14328 18432 19104 21492 25472 27648 28656 38208 42984 50944 55296 57312 76416 85968 101888 114624 152832 171936 203776 229248 305664 343872 407552 458496 611328 687744 916992 1222656 1375488 1833984 2750976 3667968 5501952 11003904