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11293776 = 2433132011
BaseRepresentation
bin101011000101…
…010001010000
3210020210011000
4223011101100
510342400101
61042022000
7164665314
oct53052120
923223130
1011293776
1164141aa
123947900
132455710
1416ddb44
15ed1486
hexac5450

11293776 has 80 divisors (see below), whose sum is σ = 34928320. Its totient is φ = 3473280.

The previous prime is 11293747. The next prime is 11293801. The reversal of 11293776 is 67739211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11293776.

It is a congruent number.

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, 4611 + ... + 6621.

It is an arithmetic number, because the mean of its divisors is an integer number (436604).

Almost surely, 211293776 is an apocalyptic number.

11293776 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 11293776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17464160).

11293776 is an abundant number, since it is smaller than the sum of its proper divisors (23634544).

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

11293776 is a wasteful number, since it uses less digits than its factorization.

11293776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2041 (or 2029 counting only the distinct ones).

The product of its digits is 15876, while the sum is 36.

The square root of 11293776 is about 3360.6213711158. The cubic root of 11293776 is about 224.3604952048.

The spelling of 11293776 in words is "eleven million, two hundred ninety-three thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2011 2808 4022 5616 6033 8044 12066 16088 18099 24132 26143 32176 36198 48264 52286 54297 72396 78429 96528 104572 108594 144792 156858 209144 217188 235287 289584 313716 418288 434376 470574 627432 705861 868752 941148 1254864 1411722 1882296 2823444 3764592 5646888 11293776