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13279104 = 273211527
BaseRepresentation
bin110010101001…
…111110000000
3220222122111200
4302221332000
511344412404
61152341200
7220604406
oct62517600
926878450
1013279104
11754a873
124544800
13299c277
141a99476
151274839
hexca9f80

13279104 has 48 divisors (see below), whose sum is σ = 38215320. Its totient is φ = 4425984.

The previous prime is 13279099. The next prime is 13279109. The reversal of 13279104 is 40197231.

It is an interprime number because it is at equal distance from previous prime (13279099) and next prime (13279109).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13279109) 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 5 ways as a sum of consecutive naturals, for example, 4612 + ... + 6915.

Almost surely, 213279104 is an apocalyptic number.

It is an amenable number.

13279104 is an abundant number, since it is smaller than the sum of its proper divisors (24936216).

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

13279104 is a wasteful number, since it uses less digits than its factorization.

13279104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11547 (or 11532 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 13279104 is about 3644.0504936128. The cubic root of 13279104 is about 236.8043035497.

The spelling of 13279104 in words is "thirteen million, two hundred seventy-nine thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 11527 23054 34581 46108 69162 92216 103743 138324 184432 207486 276648 368864 414972 553296 737728 829944 1106592 1475456 1659888 2213184 3319776 4426368 6639552 13279104