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13367808 = 2933967
BaseRepresentation
bin110010111111…
…101000000000
3221011011012000
4302333220000
511410232213
61154304000
7221424126
oct62775000
927134160
1013367808
117600483
124588000
132a0075c
141abd916
151290c73
hexcbfa00

13367808 has 80 divisors (see below), whose sum is σ = 39610560. Its totient is φ = 4451328.

The previous prime is 13367801. The next prime is 13367813. The reversal of 13367808 is 80876331.

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

It is not an unprimeable number, because it can be changed into a prime (13367801) 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 7 ways as a sum of consecutive naturals, for example, 13341 + ... + 14307.

It is an arithmetic number, because the mean of its divisors is an integer number (495132).

Almost surely, 213367808 is an apocalyptic number.

13367808 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 13367808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19805280).

13367808 is an abundant number, since it is smaller than the sum of its proper divisors (26242752).

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

13367808 is an frugal number, since it uses more digits than its factorization.

13367808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 994 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 13367808 is about 3656.2013073681. The cubic root of 13367808 is about 237.3304155963.

The spelling of 13367808 in words is "thirteen million, three hundred sixty-seven thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 967 1152 1536 1728 1934 2304 2901 3456 3868 4608 5802 6912 7736 8703 11604 13824 15472 17406 23208 26109 30944 34812 46416 52218 61888 69624 92832 104436 123776 139248 185664 208872 247552 278496 371328 417744 495104 556992 742656 835488 1113984 1485312 1670976 2227968 3341952 4455936 6683904 13367808