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11380128 = 253118543
BaseRepresentation
bin101011011010…
…010110100000
3210102011121020
4223122112200
510403131003
61043525440
7165505134
oct53322640
923364536
1011380128
116473071
123989880
132485b06
1417233c4
15eebd53
hexada5a0

11380128 has 24 divisors (see below), whose sum is σ = 29873088. Its totient is φ = 3793344.

The previous prime is 11380121. The next prime is 11380133. The reversal of 11380128 is 82108311.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11380098 and 11380107.

It is not an unprimeable number, because it can be changed into a prime (11380121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 59176 + ... + 59367.

It is an arithmetic number, because the mean of its divisors is an integer number (1244712).

Almost surely, 211380128 is an apocalyptic number.

It is an amenable number.

11380128 is an abundant number, since it is smaller than the sum of its proper divisors (18492960).

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

11380128 is a wasteful number, since it uses less digits than its factorization.

11380128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118556 (or 118548 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 11380128 is about 3373.4445304466. Note that the first 3 decimals coincide. The cubic root of 11380128 is about 224.9308627085.

Adding to 11380128 its reverse (82108311), we get a palindrome (93488439).

The spelling of 11380128 in words is "eleven million, three hundred eighty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 118543 237086 355629 474172 711258 948344 1422516 1896688 2845032 3793376 5690064 11380128