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14934200 = 235289839
BaseRepresentation
bin111000111110…
…000010111000
31001002201212112
4320332002320
512310343300
61252031452
7240636641
oct70760270
931081775
1014934200
118480316
125002588
13312b708
141daa6c8
15149ee35
hexe3e0b8

14934200 has 48 divisors (see below), whose sum is σ = 35154000. Its totient is φ = 5899520.

The previous prime is 14934197. The next prime is 14934221. The reversal of 14934200 is 243941.

14934200 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 11 ways as a sum of consecutive naturals, for example, 17381 + ... + 18219.

It is an arithmetic number, because the mean of its divisors is an integer number (732375).

Almost surely, 214934200 is an apocalyptic number.

14934200 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 14934200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17577000).

14934200 is an abundant number, since it is smaller than the sum of its proper divisors (20219800).

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

14934200 is a wasteful number, since it uses less digits than its factorization.

14934200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 944 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 14934200 is about 3864.4792663437. The cubic root of 14934200 is about 246.2600638350.

The spelling of 14934200 in words is "fourteen million, nine hundred thirty-four thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 178 200 356 445 712 839 890 1678 1780 2225 3356 3560 4195 4450 6712 8390 8900 16780 17800 20975 33560 41950 74671 83900 149342 167800 298684 373355 597368 746710 1493420 1866775 2986840 3733550 7467100 14934200