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11380208 = 2471743139
BaseRepresentation
bin101011011010…
…010111110000
3210102011201012
4223122113300
510403131313
61043530052
7165505310
oct53322760
923364635
1011380208
116473134
123989928
132485b68
141723440
15eebda8
hexada5f0

11380208 has 80 divisors (see below), whose sum is σ = 27498240. Its totient is φ = 4451328.

The previous prime is 11380207. The next prime is 11380223. The reversal of 11380208 is 80208311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380207) 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 15 ways as a sum of consecutive naturals, for example, 81803 + ... + 81941.

It is an arithmetic number, because the mean of its divisors is an integer number (343728).

Almost surely, 211380208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11380208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749120).

11380208 is an abundant number, since it is smaller than the sum of its proper divisors (16118032).

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

11380208 is a wasteful number, since it uses less digits than its factorization.

11380208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 11380208 is about 3373.4563877424. The cubic root of 11380208 is about 224.9313897801.

Adding to 11380208 its reverse (80208311), we get a palindrome (91588519).

The spelling of 11380208 in words is "eleven million, three hundred eighty thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 17 28 34 43 56 68 86 112 119 136 139 172 238 272 278 301 344 476 556 602 688 731 952 973 1112 1204 1462 1904 1946 2224 2363 2408 2924 3892 4726 4816 5117 5848 5977 7784 9452 10234 11696 11954 15568 16541 18904 20468 23908 33082 37808 40936 41839 47816 66164 81872 83678 95632 101609 132328 167356 203218 264656 334712 406436 669424 711263 812872 1422526 1625744 2845052 5690104 11380208