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13706112 = 27375099
BaseRepresentation
bin110100010010…
…001110000000
3221210100020210
4310102032000
512002043422
61205434120
7224333340
oct64221600
927710223
1013706112
117811672
12470b940
132abb734
141b6ad20
15130b10c
hexd12380

13706112 has 64 divisors (see below), whose sum is σ = 41616000. Its totient is φ = 3915264.

The previous prime is 13706111. The next prime is 13706117. The reversal of 13706112 is 21160731.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706111) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 5237.

It is an arithmetic number, because the mean of its divisors is an integer number (650250).

Almost surely, 213706112 is an apocalyptic number.

13706112 is a gapful number since it is divisible by the number (12) 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 13706112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20808000).

13706112 is an abundant number, since it is smaller than the sum of its proper divisors (27909888).

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

13706112 is an equidigital number, since it uses as much as digits as its factorization.

13706112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5123 (or 5111 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 21.

The square root of 13706112 is about 3702.1766570492. The cubic root of 13706112 is about 239.3158292577.

Adding to 13706112 its reverse (21160731), we get a palindrome (34866843).

The spelling of 13706112 in words is "thirteen million, seven hundred six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 672 896 1344 2688 5099 10198 15297 20396 30594 35693 40792 61188 71386 81584 107079 122376 142772 163168 214158 244752 285544 326336 428316 489504 571088 652672 856632 979008 1142176 1713264 1958016 2284352 3426528 4568704 6853056 13706112