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1128816 = 24341367
BaseRepresentation
bin100010011100101110000
32010100110000
410103211300
5242110231
640110000
712411003
oct4234560
92110400
101128816
11701107
12465300
13306a50
1421553a
151746e6
hex113970

1128816 has 100 divisors (see below), whose sum is σ = 3570952. Its totient is φ = 342144.

The previous prime is 1128811. The next prime is 1128821. The reversal of 1128816 is 6188211.

1128816 is nontrivially palindromic in base 11.

It is an interprime number because it is at equal distance from previous prime (1128811) and next prime (1128821).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 1128816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1128811) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16815 + ... + 16881.

21128816 is an apocalyptic number.

1128816 is a gapful number since it is divisible by the number (16) 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 1128816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1785476).

1128816 is an abundant number, since it is smaller than the sum of its proper divisors (2442136).

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

1128816 is a wasteful number, since it uses less digits than its factorization.

1128816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 85 counting only the distinct ones).

The product of its digits is 768, while the sum is 27.

The square root of 1128816 is about 1062.4575285629. The cubic root of 1128816 is about 104.1216525150.

The spelling of 1128816 in words is "one million, one hundred twenty-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 67 72 78 81 104 108 117 134 144 156 162 201 208 216 234 268 312 324 351 402 432 468 536 603 624 648 702 804 871 936 1053 1072 1206 1296 1404 1608 1742 1809 1872 2106 2412 2613 2808 3216 3484 3618 4212 4824 5226 5427 5616 6968 7236 7839 8424 9648 10452 10854 13936 14472 15678 16848 20904 21708 23517 28944 31356 41808 43416 47034 62712 70551 86832 94068 125424 141102 188136 282204 376272 564408 1128816