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14145400 = 2352107661
BaseRepresentation
bin110101111101…
…011101111000
3222121122211201
4311331131320
512110123100
61223103544
7231143143
oct65753570
928548751
1014145400
117a91715
1248a1bb4
132c13679
141c4305a
15139636a
hexd7d778

14145400 has 48 divisors (see below), whose sum is σ = 33245640. Its totient is φ = 5596800.

The previous prime is 14145389. The next prime is 14145403. The reversal of 14145400 is 454141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14145403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21070 + ... + 21730.

Almost surely, 214145400 is an apocalyptic number.

14145400 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 14145400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16622820).

14145400 is an abundant number, since it is smaller than the sum of its proper divisors (19100240).

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

14145400 is a wasteful number, since it uses less digits than its factorization.

14145400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 775 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 14145400 is about 3761.0370910163. The cubic root of 14145400 is about 241.8457227637.

Adding to 14145400 its reverse (454141), we get a palindrome (14599541).

The spelling of 14145400 in words is "fourteen million, one hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 661 856 1070 1322 2140 2644 2675 3305 4280 5288 5350 6610 10700 13220 16525 21400 26440 33050 66100 70727 132200 141454 282908 353635 565816 707270 1414540 1768175 2829080 3536350 7072700 14145400