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13027168 = 2571117311
BaseRepresentation
bin110001101100…
…011101100000
3220111211220201
4301230131200
511313332133
61143114544
7215505040
oct61543540
926454821
1013027168
117398560
124442a54
1329116ab
141a31720
151224d7d
hexc6c760

13027168 has 96 divisors (see below), whose sum is σ = 33965568. Its totient is φ = 4761600.

The previous prime is 13027127. The next prime is 13027181. The reversal of 13027168 is 86172031.

It is a super-2 number, since 2×130271682 = 339414212200448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 41733 + ... + 42043.

It is an arithmetic number, because the mean of its divisors is an integer number (353808).

Almost surely, 213027168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13027168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16982784).

13027168 is an abundant number, since it is smaller than the sum of its proper divisors (20938400).

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

13027168 is a wasteful number, since it uses less digits than its factorization.

13027168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

The square root of 13027168 is about 3609.3168328646. The cubic root of 13027168 is about 235.2971523922.

Adding to 13027168 its reverse (86172031), we get a palindrome (99199199).

The spelling of 13027168 in words is "thirteen million, twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 311 352 374 476 544 616 622 748 952 1232 1244 1309 1496 1904 2177 2464 2488 2618 2992 3421 3808 4354 4976 5236 5287 5984 6842 8708 9952 10472 10574 13684 17416 20944 21148 23947 27368 34832 37009 41888 42296 47894 54736 58157 69664 74018 84592 95788 109472 116314 148036 169184 191576 232628 296072 383152 407099 465256 592144 766304 814198 930512 1184288 1628396 1861024 3256792 6513584 13027168