Search a number
-
+
11940600 = 2335272843
BaseRepresentation
bin101101100011…
…001011111000
3211110122102110
4231203023320
511024044400
61103532320
7203331150
oct55431370
924418373
1011940600
116816171
123bba0a0
132620c59
14182b760
1510ace50
hexb632f8

11940600 has 96 divisors (see below), whose sum is σ = 42318720. Its totient is φ = 2728320.

The previous prime is 11940589. The next prime is 11940601. The reversal of 11940600 is 604911.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11940601) 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, 2779 + ... + 5621.

It is an arithmetic number, because the mean of its divisors is an integer number (440820).

Almost surely, 211940600 is an apocalyptic number.

11940600 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 11940600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21159360).

11940600 is an abundant number, since it is smaller than the sum of its proper divisors (30378120).

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

11940600 is a wasteful number, since it uses less digits than its factorization.

11940600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2869 (or 2860 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 11940600 is about 3455.5173274056. The cubic root of 11940600 is about 228.5644677940.

The spelling of 11940600 in words is "eleven million, nine hundred forty thousand, six hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 25 28 30 35 40 42 50 56 60 70 75 84 100 105 120 140 150 168 175 200 210 280 300 350 420 525 600 700 840 1050 1400 2100 2843 4200 5686 8529 11372 14215 17058 19901 22744 28430 34116 39802 42645 56860 59703 68232 71075 79604 85290 99505 113720 119406 142150 159208 170580 199010 213225 238812 284300 298515 341160 398020 426450 477624 497525 568600 597030 796040 852900 995050 1194060 1492575 1705800 1990100 2388120 2985150 3980200 5970300 11940600