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13814112 = 2531311069
BaseRepresentation
bin110100101100…
…100101100000
3221222211101210
4310230211200
512014022422
61212030120
7225263244
oct64544540
927884353
1013814112
117885824
124762340
132b28940
141b98424
15132d10c
hexd2c960

13814112 has 48 divisors (see below), whose sum is σ = 39054960. Its totient is φ = 4250112.

The previous prime is 13814111. The next prime is 13814113. The reversal of 13814112 is 21141831.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13814111) and next prime (13814113).

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13814111) 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, 4287 + ... + 6782.

It is an arithmetic number, because the mean of its divisors is an integer number (813645).

Almost surely, 213814112 is an apocalyptic number.

13814112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13814112 is an abundant number, since it is smaller than the sum of its proper divisors (25240848).

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

13814112 is a wasteful number, since it uses less digits than its factorization.

13814112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11095 (or 11087 counting only the distinct ones).

The product of its digits is 192, while the sum is 21.

The square root of 13814112 is about 3716.7340502113. The cubic root of 13814112 is about 239.9427641291.

Adding to 13814112 its reverse (21141831), we get a palindrome (34955943).

The spelling of 13814112 in words is "thirteen million, eight hundred fourteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 11069 22138 33207 44276 66414 88552 132828 143897 177104 265656 287794 354208 431691 531312 575588 863382 1062624 1151176 1726764 2302352 3453528 4604704 6907056 13814112