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11273328 = 2432112647
BaseRepresentation
bin101011000000…
…010001110000
3210012202002200
4223000101300
510341221303
61041343200
7164551563
oct53002160
923182080
1011273328
1163aa900
123937b00
132449311
1416d64da
15eca3a3
hexac0470

11273328 has 90 divisors (see below), whose sum is σ = 34732152. Its totient is φ = 3410880.

The previous prime is 11273299. The next prime is 11273333. The reversal of 11273328 is 82337211.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 17101 + ... + 17747.

Almost surely, 211273328 is an apocalyptic number.

11273328 is a gapful number since it is divisible by the number (18) 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 11273328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17366076).

11273328 is an abundant number, since it is smaller than the sum of its proper divisors (23458824).

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

11273328 is a wasteful number, since it uses less digits than its factorization.

11273328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 663 counting only the distinct ones).

The product of its digits is 2016, while the sum is 27.

The square root of 11273328 is about 3357.5776982819. The cubic root of 11273328 is about 224.2250077478.

The spelling of 11273328 in words is "eleven million, two hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 647 726 792 968 1089 1294 1452 1584 1936 1941 2178 2588 2904 3882 4356 5176 5808 5823 7117 7764 8712 10352 11646 14234 15528 17424 21351 23292 28468 31056 42702 46584 56936 64053 78287 85404 93168 113872 128106 156574 170808 234861 256212 313148 341616 469722 512424 626296 704583 939444 1024848 1252592 1409166 1878888 2818332 3757776 5636664 11273328