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13303136 = 257115399
BaseRepresentation
bin110010101111…
…110101100000
3221000212110202
4302233311200
511401200021
61153044332
7221034440
oct62576540
927025422
1013303136
117566930
1245566a8
1329aa1a2
141aa4120
15127ba0b
hexcafd60

13303136 has 48 divisors (see below), whose sum is σ = 32659200. Its totient is φ = 5182080.

The previous prime is 13303133. The next prime is 13303139. The reversal of 13303136 is 63130331.

It is an interprime number because it is at equal distance from previous prime (13303133) and next prime (13303139).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13303133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 236 + ... + 5163.

It is an arithmetic number, because the mean of its divisors is an integer number (680400).

Almost surely, 213303136 is an apocalyptic number.

13303136 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 13303136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16329600).

13303136 is an abundant number, since it is smaller than the sum of its proper divisors (19356064).

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

13303136 is a wasteful number, since it uses less digits than its factorization.

13303136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5427 (or 5419 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 20.

The square root of 13303136 is about 3647.3464326823. The cubic root of 13303136 is about 236.9470704971.

Adding to 13303136 its reverse (63130331), we get a palindrome (76433467).

The spelling of 13303136 in words is "thirteen million, three hundred three thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 1232 2464 5399 10798 21596 37793 43192 59389 75586 86384 118778 151172 172768 237556 302344 415723 475112 604688 831446 950224 1209376 1662892 1900448 3325784 6651568 13303136