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13376944 = 247831439
BaseRepresentation
bin110011000001…
…110110110000
3221011121201101
4303001312300
511411030234
61154414144
7221462560
oct63016660
927147641
1013376944
117607329
124591354
132a04969
141ac2da0
151293814
hexcc1db0

13376944 has 40 divisors (see below), whose sum is σ = 29998080. Its totient is φ = 5659968.

The previous prime is 13376941. The next prime is 13376953. The reversal of 13376944 is 44967331.

It is a hoax number, since the sum of its digits (37) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (13376941) 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, 8577 + ... + 10015.

It is an arithmetic number, because the mean of its divisors is an integer number (749952).

Almost surely, 213376944 is an apocalyptic number.

13376944 is a gapful number since it is divisible by the number (14) 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 13376944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14999040).

13376944 is an abundant number, since it is smaller than the sum of its proper divisors (16621136).

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

13376944 is a wasteful number, since it uses less digits than its factorization.

13376944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1531 counting only the distinct ones).

The product of its digits is 54432, while the sum is 37.

The square root of 13376944 is about 3657.4504781336. The cubic root of 13376944 is about 237.3844697567.

It can be divided in two parts, 1337 and 6944, that added together give a square (8281 = 912).

The spelling of 13376944 in words is "thirteen million, three hundred seventy-six thousand, nine hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 56 83 112 166 332 581 664 1162 1328 1439 2324 2878 4648 5756 9296 10073 11512 20146 23024 40292 80584 119437 161168 238874 477748 836059 955496 1672118 1910992 3344236 6688472 13376944