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14309460 = 2234511273
BaseRepresentation
bin110110100101…
…100001010100
3222220222220000
4312211201110
512130400320
61230411300
7232425354
oct66454124
928828800
1014309460
118093a00
124960b30
132c70249
141c86b64
1513c9c90
hexda5854

14309460 has 180 divisors, whose sum is σ = 50017044. Its totient is φ = 3421440.

The previous prime is 14309459. The next prime is 14309539. The reversal of 14309460 is 6490341.

It can be written as a sum of positive squares in 2 ways, for example, as 6625476 + 7683984 = 2574^2 + 2772^2 .

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 59 ways as a sum of consecutive naturals, for example, 195984 + ... + 196056.

Almost surely, 214309460 is an apocalyptic number.

14309460 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 14309460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25008522).

14309460 is an abundant number, since it is smaller than the sum of its proper divisors (35707584).

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

14309460 is a wasteful number, since it uses less digits than its factorization.

14309460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 14309460 is about 3782.7846885595. The cubic root of 14309460 is about 242.7771161600. Note that the first 3 decimals are identical.

The spelling of 14309460 in words is "fourteen million, three hundred nine thousand, four hundred sixty".