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13678848 = 28331979
BaseRepresentation
bin110100001011…
…100100000000
3221201221212000
4310023210000
512000210343
61205104000
7224161011
oct64134400
927657760
1013678848
1177a3137
1246b8000
132aac1c1
141b61008
151302ed3
hexd0b900

13678848 has 72 divisors (see below), whose sum is σ = 40471200. Its totient is φ = 4557312.

The previous prime is 13678837. The next prime is 13678853. The reversal of 13678848 is 84887631.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×136788482 = 374221765214208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5923 + ... + 7901.

It is an arithmetic number, because the mean of its divisors is an integer number (562100).

Almost surely, 213678848 is an apocalyptic number.

13678848 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 13678848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20235600).

13678848 is an abundant number, since it is smaller than the sum of its proper divisors (26792352).

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

13678848 is an equidigital number, since it uses as much as digits as its factorization.

13678848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2004 (or 1984 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 13678848 is about 3698.4926659384. The cubic root of 13678848 is about 239.1570427290.

The spelling of 13678848 in words is "thirteen million, six hundred seventy-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 1979 2304 3456 3958 5937 6912 7916 11874 15832 17811 23748 31664 35622 47496 53433 63328 71244 94992 106866 126656 142488 189984 213732 253312 284976 379968 427464 506624 569952 759936 854928 1139904 1519872 1709856 2279808 3419712 4559616 6839424 13678848