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11380080 = 243547417
BaseRepresentation
bin101011011010…
…010101110000
3210102011112110
4223122111300
510403130310
61043525320
7165505035
oct53322560
923364473
1011380080
116473028
123989840
132485a9a
14172338c
15eebd20
hexada570

11380080 has 40 divisors (see below), whose sum is σ = 35278992. Its totient is φ = 3034624.

The previous prime is 11380073. The next prime is 11380081. The reversal of 11380080 is 8008311.

It is a happy number.

11380080 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 (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11380081) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23469 + ... + 23948.

Almost surely, 211380080 is an apocalyptic number.

11380080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11380080 is an abundant number, since it is smaller than the sum of its proper divisors (23898912).

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

11380080 is a wasteful number, since it uses less digits than its factorization.

11380080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47433 (or 47427 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 11380080 is about 3373.4374160491. The cubic root of 11380080 is about 224.9305464644.

Adding to 11380080 its reverse (8008311), we get a palindrome (19388391).

The spelling of 11380080 in words is "eleven million, three hundred eighty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 47417 94834 142251 189668 237085 284502 379336 474170 569004 711255 758672 948340 1138008 1422510 1896680 2276016 2845020 3793360 5690040 11380080