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13676112 = 2432731301
BaseRepresentation
bin110100001010…
…111001010000
3221201211002200
4310022321100
512000113422
61205043200
7224150022
oct64127120
927654080
1013676112
1177a107a
1246b6500
132aaab98
141b60012
1513022ac
hexd0ae50

13676112 has 60 divisors (see below), whose sum is σ = 38828244. Its totient is φ = 4492800.

The previous prime is 13676101. The next prime is 13676119. The reversal of 13676112 is 21167631.

It can be written as a sum of positive squares in 2 ways, for example, as 2547216 + 11128896 = 1596^2 + 3336^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13676119) 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, 9862 + ... + 11162.

Almost surely, 213676112 is an apocalyptic number.

13676112 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 13676112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19414122).

13676112 is an abundant number, since it is smaller than the sum of its proper divisors (25152132).

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

13676112 is a wasteful number, since it uses less digits than its factorization.

13676112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1379 counting only the distinct ones).

The product of its digits is 1512, while the sum is 27.

The square root of 13676112 is about 3698.1227670265. The cubic root of 13676112 is about 239.1410965202.

The spelling of 13676112 in words is "thirteen million, six hundred seventy-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 144 146 219 292 438 584 657 876 1168 1301 1314 1752 2602 2628 3504 3903 5204 5256 7806 10408 10512 11709 15612 20816 23418 31224 46836 62448 93672 94973 187344 189946 284919 379892 569838 759784 854757 1139676 1519568 1709514 2279352 3419028 4558704 6838056 13676112