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11330004 = 22371931229
BaseRepresentation
bin101011001110…
…000111010100
3210022121211210
4223032013110
510400030004
61042501420
7165206040
oct53160724
923277753
1011330004
116439444
123964870
13246905a
14170d020
15edc089
hexace1d4

11330004 has 96 divisors (see below), whose sum is σ = 32972800. Its totient is φ = 2954880.

The previous prime is 11330003. The next prime is 11330009. The reversal of 11330004 is 40003311.

11330004 is digitally balanced in base 2, base 4 and base 8, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

11330004 is strictly pandigital in base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11330003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49362 + ... + 49590.

Almost surely, 211330004 is an apocalyptic number.

11330004 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 11330004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16486400).

11330004 is an abundant number, since it is smaller than the sum of its proper divisors (21642796).

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

11330004 is a wasteful number, since it uses less digits than its factorization.

11330004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 11330004 is about 3366.0071301172. The cubic root of 11330004 is about 224.6001391874.

Adding to 11330004 its reverse (40003311), we get a palindrome (51333315).

The spelling of 11330004 in words is "eleven million, three hundred thirty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 31 38 42 57 62 76 84 93 114 124 133 186 217 228 229 266 372 399 434 458 532 589 651 687 798 868 916 1178 1302 1374 1596 1603 1767 2356 2604 2748 3206 3534 4123 4351 4809 6412 7068 7099 8246 8702 9618 12369 13053 14198 16492 17404 19236 21297 24738 26106 28396 30457 42594 49476 49693 52212 60914 85188 91371 99386 121828 134881 149079 182742 198772 269762 298158 365484 404643 539524 596316 809286 944167 1618572 1888334 2832501 3776668 5665002 11330004