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13678452 = 22325367107
BaseRepresentation
bin110100001011…
…011101110100
3221201221022100
4310023131310
512000202302
61205102100
7224156604
oct64133564
927657270
1013678452
1177a2907
1246b7930
132aabc78
141b60c04
151302d1c
hexd0b774

13678452 has 72 divisors (see below), whose sum is σ = 36088416. Its totient is φ = 4365504.

The previous prime is 13678447. The next prime is 13678453. The reversal of 13678452 is 25487631.

13678452 is a `hidden beast` number, since 136 + 78 + 452 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13678453) 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 23 ways as a sum of consecutive naturals, for example, 127783 + ... + 127889.

It is an arithmetic number, because the mean of its divisors is an integer number (501228).

Almost surely, 213678452 is an apocalyptic number.

13678452 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 13678452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18044208).

13678452 is an abundant number, since it is smaller than the sum of its proper divisors (22409964).

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

13678452 is a wasteful number, since it uses less digits than its factorization.

13678452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 232 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 13678452 is about 3698.4391302278. The cubic root of 13678452 is about 239.1547348567.

The spelling of 13678452 in words is "thirteen million, six hundred seventy-eight thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 18 36 53 67 106 107 134 159 201 212 214 268 318 321 402 428 477 603 636 642 804 954 963 1206 1284 1908 1926 2412 3551 3852 5671 7102 7169 10653 11342 14204 14338 17013 21306 21507 22684 28676 31959 34026 42612 43014 51039 63918 64521 68052 86028 102078 127836 129042 204156 258084 379957 759914 1139871 1519828 2279742 3419613 4559484 6839226 13678452