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13278168 = 233431661
BaseRepresentation
bin110010101001…
…101111011000
3220222121020000
4302221233120
511344400133
61152333000
7220601601
oct62515730
926877200
1013278168
11754a0a2
124544160
13299ba07
141a98da8
151274413
hexca9bd8

13278168 has 80 divisors (see below), whose sum is σ = 38448960. Its totient is φ = 4276800.

The previous prime is 13278163. The next prime is 13278217. The reversal of 13278168 is 86187231.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13278163) 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 19 ways as a sum of consecutive naturals, for example, 19758 + ... + 20418.

It is an arithmetic number, because the mean of its divisors is an integer number (480612).

Almost surely, 213278168 is an apocalyptic number.

13278168 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 13278168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19224480).

13278168 is an abundant number, since it is smaller than the sum of its proper divisors (25170792).

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

13278168 is a wasteful number, since it uses less digits than its factorization.

13278168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 697 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 13278168 is about 3643.9220628328. The cubic root of 13278168 is about 236.7987395690.

The spelling of 13278168 in words is "thirteen million, two hundred seventy-eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 661 744 837 1116 1322 1674 1983 2232 2511 2644 3348 3966 5022 5288 5949 6696 7932 10044 11898 15864 17847 20088 20491 23796 35694 40982 47592 53541 61473 71388 81964 107082 122946 142776 163928 184419 214164 245892 368838 428328 491784 553257 737676 1106514 1475352 1659771 2213028 3319542 4426056 6639084 13278168