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13145984 = 27313313
BaseRepresentation
bin110010001001…
…011110000000
3220201212220022
4302021132000
511331132414
61145433012
7216511325
oct62113600
926655808
1013145984
117469855
12449b768
1329537b7
141a62b4c
15124a18e
hexc89780

13145984 has 32 divisors (see below), whose sum is σ = 27042240. Its totient is φ = 6359040.

The previous prime is 13145971. The next prime is 13145987. The reversal of 13145984 is 48954131.

It is a tau number, because it is divible by the number of its divisors (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13145987) 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, 2312 + ... + 5624.

It is an arithmetic number, because the mean of its divisors is an integer number (845070).

Almost surely, 213145984 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 13145984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13521120).

13145984 is an abundant number, since it is smaller than the sum of its proper divisors (13896256).

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

13145984 is an equidigital number, since it uses as much as digits as its factorization.

13145984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3358 (or 3346 counting only the distinct ones).

The product of its digits is 17280, while the sum is 35.

The square root of 13145984 is about 3625.7390970670. The cubic root of 13145984 is about 236.0103414026.

The spelling of 13145984 in words is "thirteen million, one hundred forty-five thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 992 1984 3313 3968 6626 13252 26504 53008 102703 106016 205406 212032 410812 424064 821624 1643248 3286496 6572992 13145984