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11293744 = 2471189103
BaseRepresentation
bin101011000101…
…010000110000
3210020210002211
4223011100300
510342344434
61042021504
7164665240
oct53052060
923223084
1011293744
116414180
123947894
1324556b7
1416ddb20
15ed1464
hexac5430

11293744 has 80 divisors (see below), whose sum is σ = 27855360. Its totient is φ = 4308480.

The previous prime is 11293741. The next prime is 11293747. The reversal of 11293744 is 44739211.

It is an interprime number because it is at equal distance from previous prime (11293741) and next prime (11293747).

It is not an unprimeable number, because it can be changed into a prime (11293741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109597 + ... + 109699.

It is an arithmetic number, because the mean of its divisors is an integer number (348192).

It is a vampire number, since it can be written as 14247931 (with its own digits).

Almost surely, 211293744 is an apocalyptic number.

11293744 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 11293744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13927680).

11293744 is an abundant number, since it is smaller than the sum of its proper divisors (16561616).

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

11293744 is a wasteful number, since it uses less digits than its factorization.

11293744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 212 counting only the distinct ones).

The product of its digits is 6048, while the sum is 31.

The square root of 11293744 is about 3360.6166100881. The cubic root of 11293744 is about 224.3602833022.

The spelling of 11293744 in words is "eleven million, two hundred ninety-three thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 89 103 112 154 176 178 206 308 356 412 616 623 712 721 824 979 1133 1232 1246 1424 1442 1648 1958 2266 2492 2884 3916 4532 4984 5768 6853 7832 7931 9064 9167 9968 11536 13706 15664 15862 18128 18334 27412 31724 36668 54824 63448 64169 73336 100837 109648 126896 128338 146672 201674 256676 403348 513352 705859 806696 1026704 1411718 1613392 2823436 5646872 11293744