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13694016 = 263723443
BaseRepresentation
bin110100001111…
…010001000000
3221202201122210
4310033101000
512001202031
61205302120
7224253150
oct64172100
927681583
1013694016
117803576
124704940
132ab608b
141b66760
151307746
hexd0f440

13694016 has 112 divisors (see below), whose sum is σ = 43305984. Its totient is φ = 3734016.

The previous prime is 13693991. The next prime is 13694017. The reversal of 13694016 is 61049631.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (13694017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30691 + ... + 31133.

Almost surely, 213694016 is an apocalyptic number.

13694016 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 13694016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21652992).

13694016 is an abundant number, since it is smaller than the sum of its proper divisors (29611968).

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

13694016 is a wasteful number, since it uses less digits than its factorization.

13694016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 13694016 is about 3700.5426629077. The cubic root of 13694016 is about 239.2454077247.

The spelling of 13694016 in words is "thirteen million, six hundred ninety-four thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 138 161 168 184 192 224 276 322 336 368 443 448 483 552 644 672 736 886 966 1104 1288 1329 1344 1472 1772 1932 2208 2576 2658 3101 3544 3864 4416 5152 5316 6202 7088 7728 9303 10189 10304 10632 12404 14176 15456 18606 20378 21264 24808 28352 30567 30912 37212 40756 42528 49616 61134 71323 74424 81512 85056 99232 122268 142646 148848 163024 198464 213969 244536 285292 297696 326048 427938 489072 570584 595392 652096 855876 978144 1141168 1711752 1956288 2282336 3423504 4564672 6847008 13694016