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14016976 = 2417291777
BaseRepresentation
bin110101011110…
…000111010000
3222101010200021
4311132013100
512042020401
61220233224
7230066551
oct65360720
928333607
1014016976
117a04186
12483b814
132b9a08c
141c0c328
15136d2a1
hexd5e1d0

14016976 has 40 divisors (see below), whose sum is σ = 29763720. Its totient is φ = 6365184.

The previous prime is 14016971. The next prime is 14016983. The reversal of 14016976 is 67961041.

14016976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3904576 + 10112400 = 1976^2 + 3180^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14016971) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7000 + ... + 8776.

It is an arithmetic number, because the mean of its divisors is an integer number (744093).

Almost surely, 214016976 is an apocalyptic number.

14016976 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 14016976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14881860).

14016976 is an abundant number, since it is smaller than the sum of its proper divisors (15746744).

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

14016976 is a wasteful number, since it uses less digits than its factorization.

14016976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1825 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 34.

The square root of 14016976 is about 3743.9252129283. The cubic root of 14016976 is about 241.1116027245. Note that the first 3 decimals are identical.

The spelling of 14016976 in words is "fourteen million, sixteen thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 17 29 34 58 68 116 136 232 272 464 493 986 1777 1972 3554 3944 7108 7888 14216 28432 30209 51533 60418 103066 120836 206132 241672 412264 483344 824528 876061 1752122 3504244 7008488 14016976