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13655148 = 223131719271
BaseRepresentation
bin110100000101…
…110001101100
3221200202100020
4310011301230
511443431043
61204402140
7224031633
oct64056154
927622306
1013655148
117787351
1246a6350
132aa1490
141b5651a
1512eae83
hexd05c6c

13655148 has 96 divisors (see below), whose sum is σ = 38384640. Its totient is φ = 3732480.

The previous prime is 13655141. The next prime is 13655149. The reversal of 13655148 is 84155631.

It is not an unprimeable number, because it can be changed into a prime (13655141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50253 + ... + 50523.

It is an arithmetic number, because the mean of its divisors is an integer number (399840).

Almost surely, 213655148 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13655148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19192320).

13655148 is an abundant number, since it is smaller than the sum of its proper divisors (24729492).

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

13655148 is a wasteful number, since it uses less digits than its factorization.

13655148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 325 counting only the distinct ones).

The product of its digits is 14400, while the sum is 33.

The square root of 13655148 is about 3695.2872689413. The cubic root of 13655148 is about 239.0188415554.

The spelling of 13655148 in words is "thirteen million, six hundred fifty-five thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 12 13 17 19 26 34 38 39 51 52 57 68 76 78 102 114 156 204 221 228 247 271 323 442 494 542 646 663 741 813 884 969 988 1084 1292 1326 1482 1626 1938 2652 2964 3252 3523 3876 4199 4607 5149 7046 8398 9214 10298 10569 12597 13821 14092 15447 16796 18428 20596 21138 25194 27642 30894 42276 50388 55284 59891 61788 66937 87533 119782 133874 175066 179673 200811 239564 262599 267748 350132 359346 401622 525198 718692 803244 1050396 1137929 2275858 3413787 4551716 6827574 13655148