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13151320 = 2357133613
BaseRepresentation
bin110010001010…
…110001011000
3220202011012221
4302022301120
511331320240
61145513424
7216533020
oct62126130
926664187
1013151320
117472866
1244a2874
132956060
141a64a80
15124ba4a
hexc8ac58

13151320 has 64 divisors (see below), whose sum is σ = 36429120. Its totient is φ = 4161024.

The previous prime is 13151291. The next prime is 13151339. The reversal of 13151320 is 2315131.

It is a junction number, because it is equal to n+sod(n) for n = 13151294 and 13151303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1834 + ... + 5446.

It is an arithmetic number, because the mean of its divisors is an integer number (569205).

Almost surely, 213151320 is an apocalyptic number.

13151320 is a gapful number since it is divisible by the number (10) 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 13151320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18214560).

13151320 is an abundant number, since it is smaller than the sum of its proper divisors (23277800).

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

13151320 is a wasteful number, since it uses less digits than its factorization.

13151320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3644 (or 3640 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 13151320 is about 3626.4748723795. The cubic root of 13151320 is about 236.0422695522.

Adding to 13151320 its reverse (2315131), we get a palindrome (15466451).

The spelling of 13151320 in words is "thirteen million, one hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 1820 3613 3640 7226 14452 18065 25291 28904 36130 46969 50582 72260 93938 101164 126455 144520 187876 202328 234845 252910 328783 375752 469690 505820 657566 939380 1011640 1315132 1643915 1878760 2630264 3287830 6575660 13151320