Search a number
-
+
11202240 = 263571667
BaseRepresentation
bin101010101110…
…111011000000
3210002010120210
4222232323000
510331432430
61040034120
7164134410
oct52567300
923063523
1011202240
116361455
123902940
132422b5a
1416b8640
15eb42b0
hexaaeec0

11202240 has 112 divisors (see below), whose sum is σ = 40672512. Its totient is φ = 2558976.

The previous prime is 11202221. The next prime is 11202241. The reversal of 11202240 is 4220211.

11202240 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 (112).

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

It is not an unprimeable number, because it can be changed into a prime (11202241) 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, 5887 + ... + 7553.

Almost surely, 211202240 is an apocalyptic number.

11202240 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 11202240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20336256).

11202240 is an abundant number, since it is smaller than the sum of its proper divisors (29470272).

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

11202240 is a wasteful number, since it uses less digits than its factorization.

11202240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 11202240 is about 3346.9747534154. The cubic root of 11202240 is about 223.7527032746.

Adding to 11202240 its reverse (4220211), we get a palindrome (15422451).

The spelling of 11202240 in words is "eleven million, two hundred two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1667 1680 2240 3334 3360 5001 6668 6720 8335 10002 11669 13336 16670 20004 23338 25005 26672 33340 35007 40008 46676 50010 53344 58345 66680 70014 80016 93352 100020 106688 116690 133360 140028 160032 175035 186704 200040 233380 266720 280056 320064 350070 373408 400080 466760 533440 560112 700140 746816 800160 933520 1120224 1400280 1600320 1867040 2240448 2800560 3734080 5601120 11202240