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14451400 = 2352193803
BaseRepresentation
bin110111001000…
…001011001000
31000012012121001
4313020023020
512144421100
61233424344
7233556235
oct67101310
930165531
1014451400
118180607
124a0b0b4
132cbca32
141cc278c
151406d6a
hexdc82c8

14451400 has 48 divisors (see below), whose sum is σ = 35377200. Its totient is φ = 5474880.

The previous prime is 14451373. The next prime is 14451403. The reversal of 14451400 is 415441.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (14451403) 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, 1899 + ... + 5701.

It is an arithmetic number, because the mean of its divisors is an integer number (737025).

Almost surely, 214451400 is an apocalyptic number.

14451400 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 14451400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17688600).

14451400 is an abundant number, since it is smaller than the sum of its proper divisors (20925800).

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

14451400 is a wasteful number, since it uses less digits than its factorization.

14451400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3838 (or 3829 counting only the distinct ones).

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

The square root of 14451400 is about 3801.4997040642. The cubic root of 14451400 is about 243.5772038529.

Adding to 14451400 its reverse (415441), we get a palindrome (14866841).

The spelling of 14451400 in words is "fourteen million, four hundred fifty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 152 190 200 380 475 760 950 1900 3800 3803 7606 15212 19015 30424 38030 72257 76060 95075 144514 152120 190150 289028 361285 380300 578056 722570 760600 1445140 1806425 2890280 3612850 7225700 14451400