Search a number
-
+
11206000640 = 217517099
BaseRepresentation
bin10100110111110111…
…00000000000000000
31001220222001210222202
422123323200000000
5140422214010030
65051543252332
7544460301542
oct123373400000
931828053882
1011206000640
11483054a15a
122208a4a0a8
131097803013
147843b5692
15458bd1745
hex29bee0000

11206000640 has 72 divisors (see below), whose sum is σ = 26895871800. Its totient is φ = 4482138112.

The previous prime is 11206000627. The next prime is 11206000643. The reversal of 11206000640 is 4600060211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11206000643) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 646811 + ... + 663909.

It is an arithmetic number, because the mean of its divisors is an integer number (373553775).

Almost surely, 211206000640 is an apocalyptic number.

11206000640 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 11206000640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447935900).

11206000640 is an abundant number, since it is smaller than the sum of its proper divisors (15689871160).

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

11206000640 is an frugal number, since it uses more digits than its factorization.

11206000640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17138 (or 17106 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11206000640 its reverse (4600060211), we get a palindrome (15806060851).

The spelling of 11206000640 in words is "eleven billion, two hundred six million, six hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 16384 17099 20480 32768 34198 40960 65536 68396 81920 85495 131072 136792 163840 170990 273584 327680 341980 547168 655360 683960 1094336 1367920 2188672 2735840 4377344 5471680 8754688 10943360 17509376 21886720 35018752 43773440 70037504 87546880 140075008 175093760 280150016 350187520 560300032 700375040 1120600064 1400750080 2241200128 2801500160 5603000320 11206000640