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13015728 = 243411283
BaseRepresentation
bin110001101001…
…101010110000
3220111021020000
4301221222300
511313000403
61142550000
7215426505
oct61515260
926437200
1013015728
11738aa00
124438300
13290941b
141a2b4ac
1512217a3
hexc69ab0

13015728 has 150 divisors (see below), whose sum is σ = 41906172. Its totient is φ = 3896640.

The previous prime is 13015721. The next prime is 13015729. The reversal of 13015728 is 82751031.

It is a super-3 number, since 3×130157283 (a number of 22 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (13015721) 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 29 ways as a sum of consecutive naturals, for example, 156775 + ... + 156857.

Almost surely, 213015728 is an apocalyptic number.

13015728 is a gapful number since it is divisible by the number (18) 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 13015728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20953086).

13015728 is an abundant number, since it is smaller than the sum of its proper divisors (28890444).

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

13015728 is a wasteful number, since it uses less digits than its factorization.

13015728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 13015728 is about 3607.7316973411. The cubic root of 13015728 is about 235.2282556641.

Adding to 13015728 its reverse (82751031), we get a palindrome (95766759).

The spelling of 13015728 in words is "thirteen million, fifteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 83 88 99 108 121 132 144 162 166 176 198 216 242 249 264 297 324 332 363 396 432 484 498 528 594 648 664 726 747 792 891 913 968 996 1089 1188 1296 1328 1452 1494 1584 1782 1826 1936 1992 2178 2241 2376 2739 2904 2988 3267 3564 3652 3984 4356 4482 4752 5478 5808 5976 6534 6723 7128 7304 8217 8712 8964 9801 10043 10956 11952 13068 13446 14256 14608 16434 17424 17928 19602 20086 21912 24651 26136 26892 30129 32868 35856 39204 40172 43824 49302 52272 53784 60258 65736 73953 78408 80344 90387 98604 107568 120516 131472 147906 156816 160688 180774 197208 241032 271161 295812 361548 394416 482064 542322 591624 723096 813483 1084644 1183248 1446192 1626966 2169288 3253932 4338576 6507864 13015728