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14891712 = 263112641
BaseRepresentation
bin111000110011…
…101011000000
31001000120120220
4320303223000
512303013322
61251103040
7240402033
oct70635300
931016526
1014891712
118451400
124ba1a80
133115284
141d9901a
15149255c
hexe33ac0

14891712 has 84 divisors (see below), whose sum is σ = 43376088. Its totient is φ = 4505600.

The previous prime is 14891699. The next prime is 14891713. The reversal of 14891712 is 21719841.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (14891713) 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, 22912 + ... + 23552.

It is an arithmetic number, because the mean of its divisors is an integer number (516382).

Almost surely, 214891712 is an apocalyptic number.

14891712 is a gapful number since it is divisible by the number (12) 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 14891712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21688044).

14891712 is an abundant number, since it is smaller than the sum of its proper divisors (28484376).

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

14891712 is a wasteful number, since it uses less digits than its factorization.

14891712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 678 (or 657 counting only the distinct ones).

The product of its digits is 4032, while the sum is 33.

The square root of 14891712 is about 3858.9781030734. The cubic root of 14891712 is about 246.0263042796.

The spelling of 14891712 in words is "fourteen million, eight hundred ninety-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 132 176 192 242 264 352 363 484 528 641 704 726 968 1056 1282 1452 1923 1936 2112 2564 2904 3846 3872 5128 5808 7051 7692 7744 10256 11616 14102 15384 20512 21153 23232 28204 30768 41024 42306 56408 61536 77561 84612 112816 123072 155122 169224 225632 232683 310244 338448 451264 465366 620488 676896 930732 1240976 1353792 1861464 2481952 3722928 4963904 7445856 14891712