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13431296 = 2937709
BaseRepresentation
bin110011001111…
…001000000000
3221021101021102
4303033020000
511414300141
61155513532
7222110204
oct63171000
927241242
1013431296
11764414a
1245b88a8
132a23618
141ad8b04
1512a499b
hexccf200

13431296 has 40 divisors (see below), whose sum is σ = 27600540. Its totient is φ = 6524928.

The previous prime is 13431251. The next prime is 13431323. The reversal of 13431296 is 69213431.

It can be written as a sum of positive squares in 2 ways, for example, as 13424896 + 6400 = 3664^2 + 80^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 18590 + ... + 19298.

Almost surely, 213431296 is an apocalyptic number.

13431296 is a gapful number since it is divisible by the number (16) 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 13431296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13800270).

13431296 is an abundant number, since it is smaller than the sum of its proper divisors (14169244).

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

13431296 is an frugal number, since it uses more digits than its factorization.

13431296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 748 counting only the distinct ones).

The product of its digits is 3888, while the sum is 29.

The square root of 13431296 is about 3664.8732583815. The cubic root of 13431296 is about 237.7055417325.

The spelling of 13431296 in words is "thirteen million, four hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 512 592 709 1184 1418 2368 2836 4736 5672 9472 11344 18944 22688 26233 45376 52466 90752 104932 181504 209864 363008 419728 839456 1678912 3357824 6715648 13431296