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14458380 = 2235733301
BaseRepresentation
bin110111001001…
…111000001100
31000012120011120
4313021320030
512200132010
61233520540
7233615466
oct67117014
930176146
1014458380
118185882
124a13150
132cc2c71
141cc5136
151408e70
hexdc9e0c

14458380 has 48 divisors (see below), whose sum is σ = 41050464. Its totient is φ = 3801600.

The previous prime is 14458361. The next prime is 14458391. The reversal of 14458380 is 8385441.

14458380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2730 + ... + 6030.

It is an arithmetic number, because the mean of its divisors is an integer number (855218).

Almost surely, 214458380 is an apocalyptic number.

14458380 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 14458380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20525232).

14458380 is an abundant number, since it is smaller than the sum of its proper divisors (26592084).

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

14458380 is a wasteful number, since it uses less digits than its factorization.

14458380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3386 (or 3384 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 14458380 is about 3802.4176519683. The cubic root of 14458380 is about 243.6164133235.

The spelling of 14458380 in words is "fourteen million, four hundred fifty-eight thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 73 146 219 292 365 438 730 876 1095 1460 2190 3301 4380 6602 9903 13204 16505 19806 33010 39612 49515 66020 99030 198060 240973 481946 722919 963892 1204865 1445838 2409730 2891676 3614595 4819460 7229190 14458380