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13278144 = 263116287
BaseRepresentation
bin110010101001…
…101111000000
3220222121012010
4302221233000
511344400034
61152332520
7220601535
oct62515700
926877163
1013278144
11754a080
124544140
13299b9b9
141a98d8c
1512743e9
hexca9bc0

13278144 has 56 divisors (see below), whose sum is σ = 38331648. Its totient is φ = 4023040.

The previous prime is 13278121. The next prime is 13278157. The reversal of 13278144 is 44187231.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 1032 + ... + 5255.

Almost surely, 213278144 is an apocalyptic number.

It is an amenable number.

13278144 is an abundant number, since it is smaller than the sum of its proper divisors (25053504).

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

13278144 is a wasteful number, since it uses less digits than its factorization.

13278144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6313 (or 6303 counting only the distinct ones).

The product of its digits is 5376, while the sum is 30.

The square root of 13278144 is about 3643.9187696764. The cubic root of 13278144 is about 236.7985968994.

The spelling of 13278144 in words is "thirteen million, two hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 6287 12574 18861 25148 37722 50296 69157 75444 100592 138314 150888 201184 207471 276628 301776 402368 414942 553256 603552 829884 1106512 1207104 1659768 2213024 3319536 4426048 6639072 13278144