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13365632 = 27722131
BaseRepresentation
bin110010111111…
…000110000000
3221011001012102
4302333012000
511410200012
61154245532
7221414600
oct62770600
927131172
1013365632
1175a9885
1245868a8
1329cc777
141abcc00
1512902c2
hexcbf180

13365632 has 48 divisors (see below), whose sum is σ = 30988620. Its totient is φ = 5725440.

The previous prime is 13365623. The next prime is 13365637. The reversal of 13365632 is 23656331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13365595 and 13365604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13365637) 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, 5207 + ... + 7337.

Almost surely, 213365632 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 13365632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15494310).

13365632 is an abundant number, since it is smaller than the sum of its proper divisors (17622988).

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

13365632 is an equidigital number, since it uses as much as digits as its factorization.

13365632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159 (or 2140 counting only the distinct ones).

The product of its digits is 9720, while the sum is 29.

The square root of 13365632 is about 3655.9037186447. The cubic root of 13365632 is about 237.3175374189.

It can be divided in two parts, 1 and 3365632, that added together give a palindrome (3365633).

The spelling of 13365632 in words is "thirteen million, three hundred sixty-five thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 392 448 784 896 1568 2131 3136 4262 6272 8524 14917 17048 29834 34096 59668 68192 104419 119336 136384 208838 238672 272768 417676 477344 835352 954688 1670704 1909376 3341408 6682816 13365632