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13409536 = 28721069
BaseRepresentation
bin110011001001…
…110100000000
3221020021102111
4303021310000
511413101121
61155225104
7221656600
oct63116400
927207374
1013409536
117629868
1245a8194
132a1674a
141ad0c00
15129d2e1
hexcc9d00

13409536 has 54 divisors (see below), whose sum is σ = 31165890. Its totient is φ = 5741568.

The previous prime is 13409533. The next prime is 13409551. The reversal of 13409536 is 63590431.

It can be written as a sum of positive squares in only one way, i.e., 11289600 + 2119936 = 3360^2 + 1456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13409498 and 13409507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13409531) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12010 + ... + 13078.

Almost surely, 213409536 is an apocalyptic number.

13409536 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 13409536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15582945).

13409536 is an abundant number, since it is smaller than the sum of its proper divisors (17756354).

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

13409536 is an equidigital number, since it uses as much as digits as its factorization.

13409536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1078 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 13409536 is about 3661.9033302369. The cubic root of 13409536 is about 237.5771036823.

Adding to 13409536 its reverse (63590431), we get a palindrome (76999967).

The spelling of 13409536 in words is "thirteen million, four hundred nine thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 784 896 1069 1568 1792 2138 3136 4276 6272 7483 8552 12544 14966 17104 29932 34208 52381 59864 68416 104762 119728 136832 209524 239456 273664 419048 478912 838096 957824 1676192 1915648 3352384 6704768 13409536