Search a number
-
+
11320140 = 22351323631
BaseRepresentation
bin101011001011…
…101101001100
3210022010022110
4223023231030
510344221030
61042344020
7165135216
oct53135514
923263273
1011320140
116431a97
12395b010
132464710
1417095b6
15ed91b0
hexacbb4c

11320140 has 96 divisors (see below), whose sum is σ = 35675136. Its totient is φ = 2661120.

The previous prime is 11320129. The next prime is 11320151. The reversal of 11320140 is 4102311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (11320129) and next prime (11320151).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 17625 + ... + 18255.

It is an arithmetic number, because the mean of its divisors is an integer number (371616).

Almost surely, 211320140 is an apocalyptic number.

11320140 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 11320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17837568).

11320140 is an abundant number, since it is smaller than the sum of its proper divisors (24354996).

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

11320140 is a wasteful number, since it uses less digits than its factorization.

11320140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 679 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 11320140 is about 3364.5415735283. The cubic root of 11320140 is about 224.5349406515.

Adding to 11320140 its reverse (4102311), we get a palindrome (15422451).

The spelling of 11320140 in words is "eleven million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 26 30 39 46 52 60 65 69 78 92 115 130 138 156 195 230 260 276 299 345 390 460 598 631 690 780 897 1196 1262 1380 1495 1794 1893 2524 2990 3155 3588 3786 4485 5980 6310 7572 8203 8970 9465 12620 14513 16406 17940 18930 24609 29026 32812 37860 41015 43539 49218 58052 72565 82030 87078 98436 123045 145130 164060 174156 188669 217695 246090 290260 377338 435390 492180 566007 754676 870780 943345 1132014 1886690 2264028 2830035 3773380 5660070 11320140