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11120004 = 223474903
BaseRepresentation
bin101010011010…
…110110000100
3202220221210000
4222122312010
510321320004
61034201300
7163342560
oct52326604
922827700
1011120004
116305695
123883230
1323c45ac
1416966a0
15e99c39
hexa9ad84

11120004 has 60 divisors (see below), whose sum is σ = 33229504. Its totient is φ = 3176496.

The previous prime is 11119987. The next prime is 11120009. The reversal of 11120004 is 40002111.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11120009) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 184 + ... + 4719.

Almost surely, 211120004 is an apocalyptic number.

11120004 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 11120004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16614752).

11120004 is an abundant number, since it is smaller than the sum of its proper divisors (22109500).

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

11120004 is a wasteful number, since it uses less digits than its factorization.

11120004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4926 (or 4915 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 11120004 is about 3334.6669998667. Note that the first 3 decimals coincide. The cubic root of 11120004 is about 223.2038327472.

Adding to 11120004 its reverse (40002111), we get a palindrome (51122115).

The spelling of 11120004 in words is "eleven million, one hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 252 324 378 567 756 1134 2268 4903 9806 14709 19612 29418 34321 44127 58836 68642 88254 102963 132381 137284 176508 205926 264762 308889 397143 411852 529524 617778 794286 926667 1235556 1588572 1853334 2780001 3706668 5560002 11120004