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13253840 = 245165673
BaseRepresentation
bin110010100011…
…110011010000
3220221100211222
4302203303100
511343110330
61152024212
7220440635
oct62436320
926840758
1013253840
117532896
124532068
132990912
141a9018c
15126c0e5
hexca3cd0

13253840 has 20 divisors (see below), whose sum is σ = 30815364. Its totient is φ = 5301504.

The previous prime is 13253839. The next prime is 13253843. The reversal of 13253840 is 4835231.

It can be written as a sum of positive squares in 2 ways, for example, as 6822544 + 6431296 = 2612^2 + 2536^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13253843) 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, 82757 + ... + 82916.

Almost surely, 213253840 is an apocalyptic number.

13253840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13253840 is an abundant number, since it is smaller than the sum of its proper divisors (17561524).

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

13253840 is a wasteful number, since it uses less digits than its factorization.

13253840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165686 (or 165680 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 13253840 is about 3640.5823709951. The cubic root of 13253840 is about 236.6540318146.

The spelling of 13253840 in words is "thirteen million, two hundred fifty-three thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 165673 331346 662692 828365 1325384 1656730 2650768 3313460 6626920 13253840