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11144840 = 235753751
BaseRepresentation
bin101010100000…
…111010001000
3202222012211212
4222200322020
510323113330
61034512252
7163505150
oct52407210
922865755
1011144840
116322313
123895688
1324029a5
1416a1760
15ea2295
hexaa0e88

11144840 has 64 divisors (see below), whose sum is σ = 29237760. Its totient is φ = 3744000.

The previous prime is 11144839. The next prime is 11144863. The reversal of 11144840 is 4844111.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14465 + ... + 15215.

It is an arithmetic number, because the mean of its divisors is an integer number (456840).

Almost surely, 211144840 is an apocalyptic number.

11144840 is a gapful number since it is divisible by the number (10) 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 11144840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618880).

11144840 is an abundant number, since it is smaller than the sum of its proper divisors (18092920).

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

11144840 is a wasteful number, since it uses less digits than its factorization.

11144840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 822 (or 818 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 23.

The square root of 11144840 is about 3338.3888329552. The cubic root of 11144840 is about 223.3698809028.

Adding to 11144840 its reverse (4844111), we get a palindrome (15988951).

The spelling of 11144840 in words is "eleven million, one hundred forty-four thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 53 56 70 106 140 212 265 280 371 424 530 742 751 1060 1484 1502 1855 2120 2968 3004 3710 3755 5257 6008 7420 7510 10514 14840 15020 21028 26285 30040 39803 42056 52570 79606 105140 159212 199015 210280 278621 318424 398030 557242 796060 1114484 1393105 1592120 2228968 2786210 5572420 11144840