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13366944 = 2537191
BaseRepresentation
bin110010111111…
…011010100000
3221011010000000
4302333122200
511410220234
61154300000
7221421453
oct62773240
927133000
1013366944
1175aa868
124587600
132a00246
141abd49a
151290899
hexcbf6a0

13366944 has 96 divisors (see below), whose sum is σ = 39674880. Its totient is φ = 4432320.

The previous prime is 13366919. The next prime is 13366949. The reversal of 13366944 is 44966331.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 13366899 and 13366908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13366949) 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 15 ways as a sum of consecutive naturals, for example, 69889 + ... + 70079.

It is an arithmetic number, because the mean of its divisors is an integer number (413280).

Almost surely, 213366944 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 13366944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837440).

13366944 is an abundant number, since it is smaller than the sum of its proper divisors (26307936).

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

13366944 is an frugal number, since it uses more digits than its factorization.

13366944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 196 counting only the distinct ones).

The product of its digits is 46656, while the sum is 36.

The square root of 13366944 is about 3656.0831500391. The cubic root of 13366944 is about 237.3253023696.

The spelling of 13366944 in words is "thirteen million, three hundred sixty-six thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 191 216 243 288 324 382 432 486 573 648 729 764 864 972 1146 1296 1458 1528 1719 1944 2187 2292 2592 2916 3056 3438 3888 4374 4584 5157 5832 6112 6876 7776 8748 9168 10314 11664 13752 15471 17496 18336 20628 23328 27504 30942 34992 41256 46413 55008 61884 69984 82512 92826 123768 139239 165024 185652 247536 278478 371304 417717 495072 556956 742608 835434 1113912 1485216 1670868 2227824 3341736 4455648 6683472 13366944