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13444960 = 255174943
BaseRepresentation
bin110011010010…
…011101100000
3221022002000111
4303102131200
511420214320
61200101104
7222165064
oct63223540
927262014
1013444960
117653441
124604794
132a298c9
141addaa4
1512a8a5a
hexcd2760

13444960 has 48 divisors (see below), whose sum is σ = 33638976. Its totient is φ = 5060608.

The previous prime is 13444933. The next prime is 13444967. The reversal of 13444960 is 6944431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13444967) 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, 249 + ... + 5191.

It is an arithmetic number, because the mean of its divisors is an integer number (700812).

Almost surely, 213444960 is an apocalyptic number.

13444960 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 13444960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16819488).

13444960 is an abundant number, since it is smaller than the sum of its proper divisors (20194016).

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

13444960 is a wasteful number, since it uses less digits than its factorization.

13444960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4967 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The square root of 13444960 is about 3666.7369690230. The cubic root of 13444960 is about 237.7861223832.

The spelling of 13444960 in words is "thirteen million, four hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 272 340 544 680 1360 2720 4943 9886 19772 24715 39544 49430 79088 84031 98860 158176 168062 197720 336124 395440 420155 672248 790880 840310 1344496 1680620 2688992 3361240 6722480 13444960