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13682550 = 2352783157
BaseRepresentation
bin110100001100…
…011101110110
3221202010221010
4310030131312
512000320200
61205133050
7224204550
oct64143566
927663833
1013682550
1177a59a2
1246ba186
132ab0aab
141b624d0
151304150
hexd0c776

13682550 has 96 divisors (see below), whose sum is σ = 39497472. Its totient is φ = 3070080.

The previous prime is 13682509. The next prime is 13682551. The reversal of 13682550 is 5528631.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13682551) 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, 87072 + ... + 87228.

It is an arithmetic number, because the mean of its divisors is an integer number (411432).

Almost surely, 213682550 is an apocalyptic number.

13682550 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 13682550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19748736).

13682550 is an abundant number, since it is smaller than the sum of its proper divisors (25814922).

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

13682550 is a wasteful number, since it uses less digits than its factorization.

13682550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 13682550 is about 3698.9931062385. The cubic root of 13682550 is about 239.1786156839.

The spelling of 13682550 in words is "thirteen million, six hundred eighty-two thousand, five hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 83 105 150 157 166 175 210 249 314 350 415 471 498 525 581 785 830 942 1050 1099 1162 1245 1570 1743 2075 2198 2355 2490 2905 3297 3486 3925 4150 4710 5495 5810 6225 6594 7850 8715 10990 11775 12450 13031 14525 16485 17430 23550 26062 27475 29050 32970 39093 43575 54950 65155 78186 82425 87150 91217 130310 164850 182434 195465 273651 325775 390930 456085 547302 651550 912170 977325 1368255 1954650 2280425 2736510 4560850 6841275 13682550