Search a number
-
+
11310320 = 2457191063
BaseRepresentation
bin101011001001…
…010011110000
3210021121211202
4223021103300
510343412240
61042230332
7165064460
oct53112360
923247752
1011310320
11642567a
1239553a8
1324600c8
141705ba0
15ed6315
hexac94f0

11310320 has 80 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 3670272.

The previous prime is 11310307. The next prime is 11310323. The reversal of 11310320 is 2301311.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11310323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10109 + ... + 11171.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 211310320 is an apocalyptic number.

11310320 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 11310320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

11310320 is an abundant number, since it is smaller than the sum of its proper divisors (20354320).

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

11310320 is a wasteful number, since it uses less digits than its factorization.

11310320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1102 (or 1096 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 11310320 is about 3363.0819199062. The cubic root of 11310320 is about 224.4699953121.

Adding to 11310320 its reverse (2301311), we get a palindrome (13611631).

Subtracting from 11310320 its reverse (2301311), we obtain a palindrome (9009009).

The spelling of 11310320 in words is "eleven million, three hundred ten thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 35 38 40 56 70 76 80 95 112 133 140 152 190 266 280 304 380 532 560 665 760 1063 1064 1330 1520 2126 2128 2660 4252 5315 5320 7441 8504 10630 10640 14882 17008 20197 21260 29764 37205 40394 42520 59528 74410 80788 85040 100985 119056 141379 148820 161576 201970 282758 297640 323152 403940 565516 595280 706895 807880 1131032 1413790 1615760 2262064 2827580 5655160 11310320