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16140000 = 25354269
BaseRepresentation
bin111101100100…
…011011100000
31010100222220210
4331210123200
513112440000
61333534120
7254121252
oct75443340
933328823
1016140000
119124248
1254a4340
1334614c6
142201cd2
15163c350
hexf646e0

16140000 has 120 divisors (see below), whose sum is σ = 53139240. Its totient is φ = 4288000.

The previous prime is 16139993. The next prime is 16140001. The reversal of 16140000 is 4161.

16140000 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16140001) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59866 + ... + 60134.

It is an arithmetic number, because the mean of its divisors is an integer number (442827).

Almost surely, 216140000 is an apocalyptic number.

16140000 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 16140000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26569620).

16140000 is an abundant number, since it is smaller than the sum of its proper divisors (36999240).

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

16140000 is an equidigital number, since it uses as much as digits as its factorization.

16140000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 16140000 is about 4017.4618853201. The cubic root of 16140000 is about 252.7170306690.

Adding to 16140000 its reverse (4161), we get a palindrome (16144161).

The spelling of 16140000 in words is "sixteen million, one hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 269 300 375 400 480 500 538 600 625 750 800 807 1000 1076 1200 1250 1345 1500 1614 1875 2000 2152 2400 2500 2690 3000 3228 3750 4000 4035 4304 5000 5380 6000 6456 6725 7500 8070 8608 10000 10760 12000 12912 13450 15000 16140 20000 20175 21520 25824 26900 30000 32280 33625 40350 43040 53800 60000 64560 67250 80700 100875 107600 129120 134500 161400 168125 201750 215200 269000 322800 336250 403500 504375 538000 645600 672500 807000 1008750 1076000 1345000 1614000 2017500 2690000 3228000 4035000 5380000 8070000 16140000