Search a number
-
+
11073384 = 23327127173
BaseRepresentation
bin101010001111…
…011101101000
3202211120211100
4222033131220
510313322014
61033201400
7163056630
oct52173550
922746740
1011073384
116283663
123860260
1323a92ca
1416836c0
15e8b009
hexa8f768

11073384 has 96 divisors (see below), whose sum is σ = 34744320. Its totient is φ = 3120768.

The previous prime is 11073383. The next prime is 11073401. The reversal of 11073384 is 48337011.

It is a super-2 number, since 2×110733842 = 245239666422912, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11073383) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 63922 + ... + 64094.

It is an arithmetic number, because the mean of its divisors is an integer number (361920).

Almost surely, 211073384 is an apocalyptic number.

11073384 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 11073384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17372160).

11073384 is an abundant number, since it is smaller than the sum of its proper divisors (23670936).

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

11073384 is a wasteful number, since it uses less digits than its factorization.

11073384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 312 counting only the distinct ones).

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

The square root of 11073384 is about 3327.6694547386. The cubic root of 11073384 is about 222.8914725925.

The spelling of 11073384 in words is "eleven million, seventy-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 84 126 127 168 173 252 254 346 381 504 508 519 692 762 889 1016 1038 1143 1211 1384 1524 1557 1778 2076 2286 2422 2667 3048 3114 3556 3633 4152 4572 4844 5334 6228 7112 7266 8001 9144 9688 10668 10899 12456 14532 16002 21336 21798 21971 29064 32004 43596 43942 64008 65913 87192 87884 131826 153797 175768 197739 263652 307594 395478 461391 527304 615188 790956 922782 1230376 1384173 1581912 1845564 2768346 3691128 5536692 11073384