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11019312 = 2432591297
BaseRepresentation
bin101010000010…
…010000110000
3202201211122200
4222002100300
510310104222
61032103200
7162443163
oct52022060
922654580
1011019312
116246a77
123834b00
13238a805
14166bada
15e79eac
hexa82430

11019312 has 60 divisors (see below), whose sum is σ = 31385640. Its totient is φ = 3608064.

The previous prime is 11019311. The next prime is 11019313. The reversal of 11019312 is 21391011.

It is an interprime number because it is at equal distance from previous prime (11019311) and next prime (11019313).

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 (11019311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7848 + ... + 9144.

It is an arithmetic number, because the mean of its divisors is an integer number (523094).

Almost surely, 211019312 is an apocalyptic number.

11019312 is a gapful number since it is divisible by the number (12) 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 11019312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15692820).

11019312 is an abundant number, since it is smaller than the sum of its proper divisors (20366328).

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

11019312 is a wasteful number, since it uses less digits than its factorization.

11019312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1370 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

The square root of 11019312 is about 3319.5349071820. The cubic root of 11019312 is about 222.5280829764.

The spelling of 11019312 in words is "eleven million, nineteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 118 144 177 236 354 472 531 708 944 1062 1297 1416 2124 2594 2832 3891 4248 5188 7782 8496 10376 11673 15564 20752 23346 31128 46692 62256 76523 93384 153046 186768 229569 306092 459138 612184 688707 918276 1224368 1377414 1836552 2754828 3673104 5509656 11019312