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13135296 = 26337432
BaseRepresentation
bin110010000110…
…110111000000
3220201100020110
4302012313000
511330312141
61145311320
7216435216
oct62066700
926640213
1013135296
117461819
124495540
13294b985
141a5ccb6
151246e16
hexc86dc0

13135296 has 84 divisors (see below), whose sum is σ = 36542472. Its totient is φ = 4161024.

The previous prime is 13135279. The next prime is 13135301. The reversal of 13135296 is 69253131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 305451 + ... + 305493.

Almost surely, 213135296 is an apocalyptic number.

13135296 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 13135296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18271236).

13135296 is an abundant number, since it is smaller than the sum of its proper divisors (23407176).

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

13135296 is an equidigital number, since it uses as much as digits as its factorization.

13135296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 85 counting only the distinct ones).

The product of its digits is 4860, while the sum is 30.

The square root of 13135296 is about 3624.2648909813. The cubic root of 13135296 is about 235.9463633733.

It can be divided in two parts, 13135 and 296, that added together give a palindrome (13431).

The spelling of 13135296 in words is "thirteen million, one hundred thirty-five thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 43 48 64 74 86 96 111 129 148 172 192 222 258 296 344 444 516 592 688 888 1032 1184 1376 1591 1776 1849 2064 2368 2752 3182 3552 3698 4128 4773 5547 6364 7104 7396 8256 9546 11094 12728 14792 19092 22188 25456 29584 38184 44376 50912 59168 68413 76368 88752 101824 118336 136826 152736 177504 205239 273652 305472 355008 410478 547304 820956 1094608 1641912 2189216 3283824 4378432 6567648 13135296