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11134320 = 2435172729
BaseRepresentation
bin101010011110…
…010101110000
3202221200102020
4222132111300
510322244240
61034351440
7163432401
oct52362560
922850366
1011134320
11631541a
12388b580
1323cac72
14169b9a8
15e9e0d0
hexa9e570

11134320 has 80 divisors (see below), whose sum is σ = 36560160. Its totient is φ = 2793472.

The previous prime is 11134309. The next prime is 11134327. The reversal of 11134320 is 2343111.

11134320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11134320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11134327) 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, 2716 + ... + 5444.

It is an arithmetic number, because the mean of its divisors is an integer number (457002).

Almost surely, 211134320 is an apocalyptic number.

11134320 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 11134320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18280080).

11134320 is an abundant number, since it is smaller than the sum of its proper divisors (25425840).

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

11134320 is a wasteful number, since it uses less digits than its factorization.

11134320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2756 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 11134320 is about 3336.8128506106. The cubic root of 11134320 is about 223.2995765915.

Adding to 11134320 its reverse (2343111), we get a palindrome (13477431).

The spelling of 11134320 in words is "eleven million, one hundred thirty-four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 120 136 170 204 240 255 272 340 408 510 680 816 1020 1360 2040 2729 4080 5458 8187 10916 13645 16374 21832 27290 32748 40935 43664 46393 54580 65496 81870 92786 109160 130992 139179 163740 185572 218320 231965 278358 327480 371144 463930 556716 654960 695895 742288 927860 1113432 1391790 1855720 2226864 2783580 3711440 5567160 11134320