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13444480 = 27573001
BaseRepresentation
bin110011010010…
…010110000000
3221022001100201
4303102112000
511420210410
61200054544
7222163510
oct63222600
927261321
1013444480
117653045
124604454
132a2961a
141add840
1512a883a
hexcd2580

13444480 has 64 divisors (see below), whose sum is σ = 36744480. Its totient is φ = 4608000.

The previous prime is 13444477. The next prime is 13444523. The reversal of 13444480 is 8444431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 2980 + ... + 5980.

Almost surely, 213444480 is an apocalyptic number.

13444480 is a gapful number since it is divisible by the number (10) 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 13444480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18372240).

13444480 is an abundant number, since it is smaller than the sum of its proper divisors (23300000).

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

13444480 is an equidigital number, since it uses as much as digits as its factorization.

13444480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3027 (or 3015 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 28.

The square root of 13444480 is about 3666.6715151483. The cubic root of 13444480 is about 237.7832926067.

It can be divided in two parts, 13444 and 480, that added together give a square (13924 = 1182).

The spelling of 13444480 in words is "thirteen million, four hundred forty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 3001 4480 6002 12004 15005 21007 24008 30010 42014 48016 60020 84028 96032 105035 120040 168056 192064 210070 240080 336112 384128 420140 480160 672224 840280 960320 1344448 1680560 1920640 2688896 3361120 6722240 13444480