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13035296 = 252389199
BaseRepresentation
bin110001101110…
…011100100000
3220112021001202
4301232130200
511314112141
61143220332
7215540531
oct61563440
926467052
1013035296
1173a367a
1244476a8
1329152c1
141a34688
15122749b
hexc6e720

13035296 has 48 divisors (see below), whose sum is σ = 27216000. Its totient is φ = 6133248.

The previous prime is 13035289. The next prime is 13035301. The reversal of 13035296 is 69253031.

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 7 ways as a sum of consecutive naturals, for example, 65405 + ... + 65603.

It is an arithmetic number, because the mean of its divisors is an integer number (567000).

Almost surely, 213035296 is an apocalyptic number.

13035296 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 13035296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13608000).

13035296 is an abundant number, since it is smaller than the sum of its proper divisors (14180704).

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

13035296 is a wasteful number, since it uses less digits than its factorization.

13035296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 29.

The square root of 13035296 is about 3610.4426321436. The cubic root of 13035296 is about 235.3460782893.

It can be divided in two parts, 13035 and 296, that added together give a palindrome (13331).

The spelling of 13035296 in words is "thirteen million, thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 199 356 368 398 712 736 796 1424 1592 2047 2848 3184 4094 4577 6368 8188 9154 16376 17711 18308 32752 35422 36616 65504 70844 73232 141688 146464 283376 407353 566752 814706 1629412 3258824 6517648 13035296