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13936896 = 283223263
BaseRepresentation
bin110101001010…
…100100000000
3222020001211100
4311022210000
512031440041
61214414400
7226314231
oct65124400
928201740
1013936896
117959aa6
124801400
132b6c7ac
141bcb088
1513546b6
hexd4a900

13936896 has 108 divisors (see below), whose sum is σ = 42090048. Its totient is φ = 4426752.

The previous prime is 13936891. The next prime is 13936913. The reversal of 13936896 is 69863931.

It is a super-2 number, since 2×139368962 = 388474140229632, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (13936891) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 52861 + ... + 53123.

Almost surely, 213936896 is an apocalyptic number.

13936896 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 13936896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21045024).

13936896 is an abundant number, since it is smaller than the sum of its proper divisors (28153152).

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

13936896 is a wasteful number, since it uses less digits than its factorization.

13936896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 291 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The square root of 13936896 is about 3733.2152362273. The cubic root of 13936896 is about 240.6515628403.

The spelling of 13936896 in words is "thirteen million, nine hundred thirty-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 263 276 288 368 384 414 526 552 576 736 768 789 828 1052 1104 1152 1472 1578 1656 2104 2208 2304 2367 2944 3156 3312 4208 4416 4734 5888 6049 6312 6624 8416 8832 9468 12098 12624 13248 16832 17664 18147 18936 24196 25248 26496 33664 36294 37872 48392 50496 52992 54441 67328 72588 75744 96784 100992 108882 145176 151488 193568 201984 217764 290352 302976 387136 435528 580704 605952 774272 871056 1161408 1548544 1742112 2322816 3484224 4645632 6968448 13936896