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13279024 = 24112193
BaseRepresentation
bin110010101001…
…111100110000
3220222122101201
4302221330300
511344412044
61152340544
7220604233
oct62517460
926878351
1013279024
11754a800
124544754
13299c215
141a9941a
1512747d4
hexca9f30

13279024 has 60 divisors (see below), whose sum is σ = 29850520. Its totient is φ = 5718240.

The previous prime is 13279001. The next prime is 13279033. The reversal of 13279024 is 42097231.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

13279024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13278983 and 13279001.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 698887 + ... + 698905.

Almost surely, 213279024 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 13279024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14925260).

13279024 is an abundant number, since it is smaller than the sum of its proper divisors (16571496).

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

13279024 is an equidigital number, since it uses as much as digits as its factorization.

13279024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 32 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 28.

The square root of 13279024 is about 3644.0395168000. The cubic root of 13279024 is about 236.8038280061.

The spelling of 13279024 in words is "thirteen million, two hundred seventy-nine thousand, twenty-four".

Divisors: 1 2 4 8 11 16 19 22 38 44 76 88 121 152 176 209 242 304 361 418 484 722 836 968 1444 1672 1936 2299 2888 3344 3971 4598 5776 6859 7942 9196 13718 15884 18392 27436 31768 36784 43681 54872 63536 75449 87362 109744 150898 174724 301796 349448 603592 698896 829939 1207184 1659878 3319756 6639512 13279024