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13677498 = 2375359
BaseRepresentation
bin110100001011…
…001110111010
3221201220000000
4310023032322
512000134443
61205053430
7224154042
oct64131672
927656000
1013677498
1177a211a
1246b7276
132aab6c3
141b60722
1513028d3
hexd0b3ba

13677498 has 64 divisors (see below), whose sum is σ = 31881600. Its totient is φ = 4397328.

The previous prime is 13677497. The next prime is 13677523. The reversal of 13677498 is 89477631.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13677491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231793 + ... + 231851.

It is an arithmetic number, because the mean of its divisors is an integer number (498150).

Almost surely, 213677498 is an apocalyptic number.

13677498 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13677498, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15940800).

13677498 is an abundant number, since it is smaller than the sum of its proper divisors (18204102).

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

13677498 is an frugal number, since it uses more digits than its factorization.

13677498 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 117 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 13677498 is about 3698.3101546517. The cubic root of 13677498 is about 239.1491747997.

The spelling of 13677498 in words is "thirteen million, six hundred seventy-seven thousand, four hundred ninety-eight".

Divisors: 1 2 3 6 9 18 27 53 54 59 81 106 118 159 162 177 243 318 354 477 486 531 729 954 1062 1431 1458 1593 2187 2862 3127 3186 4293 4374 4779 6254 8586 9381 9558 12879 14337 18762 25758 28143 28674 38637 43011 56286 77274 84429 86022 115911 129033 168858 231822 253287 258066 506574 759861 1519722 2279583 4559166 6838749 13677498