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13725030 = 23511219199
BaseRepresentation
bin110100010110…
…110101100110
3221211022012110
4310112311212
512003200110
61210101450
7224442444
oct64266546
927738173
1013725030
117824900
12471a886
132ac7227
141b73b94
151311a20
hexd16d66

13725030 has 96 divisors (see below), whose sum is σ = 38304000. Its totient is φ = 3136320.

The previous prime is 13725013. The next prime is 13725031. The reversal of 13725030 is 3052731.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 13724988 and 13725006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13725031) 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 47 ways as a sum of consecutive naturals, for example, 68871 + ... + 69069.

It is an arithmetic number, because the mean of its divisors is an integer number (399000).

Almost surely, 213725030 is an apocalyptic number.

13725030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13725030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19152000).

13725030 is an abundant number, since it is smaller than the sum of its proper divisors (24578970).

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

13725030 is a wasteful number, since it uses less digits than its factorization.

13725030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 21.

The square root of 13725030 is about 3704.7307594480. The cubic root of 13725030 is about 239.4258846712.

Adding to 13725030 its reverse (3052731), we get a palindrome (16777761).

The spelling of 13725030 in words is "thirteen million, seven hundred twenty-five thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 121 165 190 199 209 242 285 330 363 398 418 570 597 605 627 726 995 1045 1194 1210 1254 1815 1990 2090 2189 2299 2985 3135 3630 3781 4378 4598 5970 6270 6567 6897 7562 10945 11343 11495 13134 13794 18905 21890 22686 22990 24079 32835 34485 37810 41591 48158 56715 65670 68970 72237 83182 113430 120395 124773 144474 207955 240790 249546 361185 415910 457501 623865 722370 915002 1247730 1372503 2287505 2745006 4575010 6862515 13725030