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14484960 = 253357479
BaseRepresentation
bin110111010000…
…010111100000
31000020220122000
4313100113200
512202004320
61234244000
7234056130
oct67202740
930226560
1014484960
1181a3846
124a26600
1330020a9
141cd0ac0
151411c90
hexdd05e0

14484960 has 192 divisors, whose sum is σ = 58060800. Its totient is φ = 3303936.

The previous prime is 14484947. The next prime is 14484971. The reversal of 14484960 is 6948441.

14484960 = T343 + T344 + ... + T502.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 30001 + ... + 30479.

It is an arithmetic number, because the mean of its divisors is an integer number (302400).

Almost surely, 214484960 is an apocalyptic number.

14484960 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 14484960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29030400).

14484960 is an abundant number, since it is smaller than the sum of its proper divisors (43575840).

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

14484960 is a wasteful number, since it uses less digits than its factorization.

14484960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510 (or 496 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 14484960 is about 3805.9111918173. The cubic root of 14484960 is about 243.7656084680.

The spelling of 14484960 in words is "fourteen million, four hundred eighty-four thousand, nine hundred sixty".