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11819616 = 253123121
BaseRepresentation
bin101101000101…
…101001100000
3211020111110120
4231011221200
511011211431
61101200240
7202315344
oct55055140
924214416
1011819616
116743286
123b60080
1325aab73
1417d9624
151087196
hexb45a60

11819616 has 24 divisors (see below), whose sum is σ = 31026744. Its totient is φ = 3939840.

The previous prime is 11819611. The next prime is 11819623. The reversal of 11819616 is 61691811.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11819611) 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, 61465 + ... + 61656.

It is an arithmetic number, because the mean of its divisors is an integer number (1292781).

Almost surely, 211819616 is an apocalyptic number.

11819616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11819616 is an abundant number, since it is smaller than the sum of its proper divisors (19207128).

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

11819616 is a wasteful number, since it uses less digits than its factorization.

11819616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123134 (or 123126 counting only the distinct ones).

The product of its digits is 2592, while the sum is 33.

The square root of 11819616 is about 3437.9668410268. The cubic root of 11819616 is about 227.7898957045.

The spelling of 11819616 in words is "eleven million, eight hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 123121 246242 369363 492484 738726 984968 1477452 1969936 2954904 3939872 5909808 11819616