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14947840 = 2955839
BaseRepresentation
bin111001000001…
…011000000000
31001010102120201
4321001120000
512311312330
61252214544
7241024465
oct71013000
931112521
1014947840
11848a596
12500a454
13313499b
141db166c
1514a3eca
hexe41600

14947840 has 40 divisors (see below), whose sum is σ = 35845920. Its totient is φ = 5978112.

The previous prime is 14947837. The next prime is 14947841. The reversal of 14947840 is 4874941.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 14947840.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14947841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 360 + ... + 5479.

It is an arithmetic number, because the mean of its divisors is an integer number (896148).

Almost surely, 214947840 is an apocalyptic number.

14947840 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 14947840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17922960).

14947840 is an abundant number, since it is smaller than the sum of its proper divisors (20898080).

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

14947840 is an frugal number, since it uses more digits than its factorization.

14947840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5862 (or 5846 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 14947840 is about 3866.2436550223. The cubic root of 14947840 is about 246.3350140646.

The spelling of 14947840 in words is "fourteen million, nine hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1280 2560 5839 11678 23356 29195 46712 58390 93424 116780 186848 233560 373696 467120 747392 934240 1494784 1868480 2989568 3736960 7473920 14947840