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14530768 = 247137947
BaseRepresentation
bin110111011011…
…100011010000
31000100020110121
4313123203100
512204441033
61235240024
7234336520
oct67334320
930306417
1014530768
1182251aa
124a49014
133019bb5
141d03680
15142062d
hexddb8d0

14530768 has 40 divisors (see below), whose sum is σ = 32444352. Its totient is φ = 6175488.

The previous prime is 14530757. The next prime is 14530771. The reversal of 14530768 is 86703541.

It is a super-2 number, since 2×145307682 = 422286437339648, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 14871 + ... + 15817.

Almost surely, 214530768 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 14530768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16222176).

14530768 is an abundant number, since it is smaller than the sum of its proper divisors (17913584).

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

14530768 is a wasteful number, since it uses less digits than its factorization.

14530768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1099 (or 1093 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 34.

The square root of 14530768 is about 3811.9244483594. The cubic root of 14530768 is about 244.0223037929.

The spelling of 14530768 in words is "fourteen million, five hundred thirty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 137 274 548 947 959 1096 1894 1918 2192 3788 3836 6629 7576 7672 13258 15152 15344 26516 53032 106064 129739 259478 518956 908173 1037912 1816346 2075824 3632692 7265384 14530768