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14201300 = 2252295983
BaseRepresentation
bin110110001011…
…000111010100
3222201111112002
4312023013110
512113420200
61224214432
7231465131
oct66130724
928644462
1014201300
11801a713
12490a418
132c32c49
141c59588
1513a7bd5
hexd8b1d4

14201300 has 72 divisors (see below), whose sum is σ = 32810400. Its totient is φ = 5326720.

The previous prime is 14201287. The next prime is 14201333. The reversal of 14201300 is 310241.

It is a happy number.

14201300 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 23 ways as a sum of consecutive naturals, for example, 171059 + ... + 171141.

It is an arithmetic number, because the mean of its divisors is an integer number (455700).

Almost surely, 214201300 is an apocalyptic number.

14201300 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 14201300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16405200).

14201300 is an abundant number, since it is smaller than the sum of its proper divisors (18609100).

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

14201300 is a wasteful number, since it uses less digits than its factorization.

14201300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 14201300 is about 3768.4612244257. The cubic root of 14201300 is about 242.1638805270.

Adding to 14201300 its reverse (310241), we get a palindrome (14511541).

The spelling of 14201300 in words is "fourteen million, two hundred one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 59 83 100 116 118 145 166 236 290 295 332 415 580 590 725 830 1180 1450 1475 1660 1711 2075 2407 2900 2950 3422 4150 4814 4897 5900 6844 8300 8555 9628 9794 12035 17110 19588 24070 24485 34220 42775 48140 48970 60175 85550 97940 120350 122425 142013 171100 240700 244850 284026 489700 568052 710065 1420130 2840260 3550325 7100650 14201300