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14080464 = 2432277353
BaseRepresentation
bin110101101101…
…100111010000
3222111100202200
4311231213100
512101033324
61221443200
7230452626
oct65554720
928440680
1014080464
117a47952
124870500
132bbcc48
141c27516
151381ec9
hexd6d9d0

14080464 has 60 divisors (see below), whose sum is σ = 39660036. Its totient is φ = 4663296.

The previous prime is 14080433. The next prime is 14080477. The reversal of 14080464 is 46408041.

It can be written as a sum of positive squares in 2 ways, for example, as 3968064 + 10112400 = 1992^2 + 3180^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 39712 + ... + 40064.

Almost surely, 214080464 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 14080464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19830018).

14080464 is an abundant number, since it is smaller than the sum of its proper divisors (25579572).

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

14080464 is a wasteful number, since it uses less digits than its factorization.

14080464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 644 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 14080464 is about 3752.3944355571. The cubic root of 14080464 is about 241.4750819808.

The spelling of 14080464 in words is "fourteen million, eighty thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 353 554 706 831 1059 1108 1412 1662 2118 2216 2493 2824 3177 3324 4236 4432 4986 5648 6354 6648 8472 9972 12708 13296 16944 19944 25416 39888 50832 97781 195562 293343 391124 586686 782248 880029 1173372 1564496 1760058 2346744 3520116 4693488 7040232 14080464