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13135444 = 2273137409
BaseRepresentation
bin110010000110…
…111001010100
3220201100102221
4302012321110
511330313234
61145312124
7216435520
oct62067124
926640387
1013135444
117461943
124495644
13294ba6a
141a5cd80
151246eb4
hexc86e54

13135444 has 48 divisors (see below), whose sum is σ = 27919360. Its totient is φ = 5287680.

The previous prime is 13135439. The next prime is 13135469. The reversal of 13135444 is 44453131.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 31912 + ... + 32320.

Almost surely, 213135444 is an apocalyptic number.

13135444 is a gapful number since it is divisible by the number (14) 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 13135444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13959680).

13135444 is an abundant number, since it is smaller than the sum of its proper divisors (14783916).

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

13135444 is a wasteful number, since it uses less digits than its factorization.

13135444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 486 counting only the distinct ones).

The product of its digits is 2880, while the sum is 25.

The square root of 13135444 is about 3624.2853088575. The cubic root of 13135444 is about 235.9472495335.

Adding to 13135444 its reverse (44453131), we get a palindrome (57588575).

The spelling of 13135444 in words is "thirteen million, one hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 37 62 74 124 148 217 259 409 434 518 818 868 1036 1147 1636 2294 2863 4588 5726 8029 11452 12679 15133 16058 25358 30266 32116 50716 60532 88753 105931 177506 211862 355012 423724 469123 938246 1876492 3283861 6567722 13135444