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13248160 = 255312671
BaseRepresentation
bin110010100010…
…011010100000
3220221002001121
4302202122200
511342420120
61151542024
7220415242
oct62423240
926832047
1013248160
1175295a2
12452a914
13298b163
141a8c092
15126a5aa
hexca26a0

13248160 has 48 divisors (see below), whose sum is σ = 32320512. Its totient is φ = 5126400.

The previous prime is 13248139. The next prime is 13248181. The reversal of 13248160 is 6184231.

It is an interprime number because it is at equal distance from previous prime (13248139) and next prime (13248181).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3625 + ... + 6295.

It is an arithmetic number, because the mean of its divisors is an integer number (673344).

Almost surely, 213248160 is an apocalyptic number.

13248160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13248160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16160256).

13248160 is an abundant number, since it is smaller than the sum of its proper divisors (19072352).

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

13248160 is a wasteful number, since it uses less digits than its factorization.

13248160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2717 (or 2709 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 13248160 is about 3639.8021924275. The cubic root of 13248160 is about 236.6202205577.

The spelling of 13248160 in words is "thirteen million, two hundred forty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 80 124 155 160 248 310 496 620 992 1240 2480 2671 4960 5342 10684 13355 21368 26710 42736 53420 82801 85472 106840 165602 213680 331204 414005 427360 662408 828010 1324816 1656020 2649632 3312040 6624080 13248160