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14054976 = 2632131877
BaseRepresentation
bin110101100111…
…011001000000
3222110001210200
4311213121000
512044224401
61221125200
7230315415
oct65473100
928401720
1014054976
117a2a791
124859800
132bb1470
141c1c10c
151379686
hexd67640

14054976 has 84 divisors (see below), whose sum is σ = 43408092. Its totient is φ = 4322304.

The previous prime is 14054941. The next prime is 14054977. The reversal of 14054976 is 67945041.

14054976 is a `hidden beast` number, since 1 + 40 + 549 + 76 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5198400 + 8856576 = 2280^2 + 2976^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 14054976.

It is not an unprimeable number, because it can be changed into a prime (14054977) 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 11 ways as a sum of consecutive naturals, for example, 6550 + ... + 8426.

It is an arithmetic number, because the mean of its divisors is an integer number (516763).

Almost surely, 214054976 is an apocalyptic number.

14054976 is a gapful number since it is divisible by the number (16) 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 14054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21704046).

14054976 is an abundant number, since it is smaller than the sum of its proper divisors (29353116).

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

14054976 is a wasteful number, since it uses less digits than its factorization.

14054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1908 (or 1895 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 14054976 is about 3748.9966657761. The cubic root of 14054976 is about 241.3292905183.

It can be divided in two parts, 140549 and 76, that added together give a square (140625 = 3752).

The spelling of 14054976 in words is "fourteen million, fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 1877 2496 3744 3754 5631 7488 7508 11262 15016 16893 22524 24401 30032 33786 45048 48802 60064 67572 73203 90096 97604 120128 135144 146406 180192 195208 219609 270288 292812 360384 390416 439218 540576 585624 780832 878436 1081152 1171248 1561664 1756872 2342496 3513744 4684992 7027488 14054976