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13286808 = 2333137449
BaseRepresentation
bin110010101011…
…110110011000
3221000001002000
4302223312120
511400134213
61152441000
7220636023
oct62536630
927001060
1013286808
117555637
124549160
1329a2922
141a9c1ba
151276c73
hexcabd98

13286808 has 64 divisors (see below), whose sum is σ = 37260000. Its totient is φ = 4386816.

The previous prime is 13286789. The next prime is 13286813. The reversal of 13286808 is 80868231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 29368 + ... + 29816.

Almost surely, 213286808 is an apocalyptic number.

13286808 is a gapful number since it is divisible by the number (18) 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 13286808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18630000).

13286808 is an abundant number, since it is smaller than the sum of its proper divisors (23973192).

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

13286808 is a wasteful number, since it uses less digits than its factorization.

13286808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 13286808 is about 3645.1074058250. The cubic root of 13286808 is about 236.8500894618.

The spelling of 13286808 in words is "thirteen million, two hundred eighty-six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 137 216 274 411 449 548 822 898 1096 1233 1347 1644 1796 2466 2694 3288 3592 3699 4041 4932 5388 7398 8082 9864 10776 12123 14796 16164 24246 29592 32328 48492 61513 96984 123026 184539 246052 369078 492104 553617 738156 1107234 1476312 1660851 2214468 3321702 4428936 6643404 13286808