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16140 = 2235269
BaseRepresentation
bin11111100001100
3211010210
43330030
51004030
6202420
765025
oct37414
924123
1016140
1111143
129410
137467
145c4c
154bb0
hex3f0c

16140 has 24 divisors (see below), whose sum is σ = 45360. Its totient is φ = 4288.

The previous prime is 16139. The next prime is 16141. The reversal of 16140 is 4161.

Added to its reverse (4161) it gives a triangular number (20301 = T201).

It is an interprime number because it is at equal distance from previous prime (16139) and next prime (16141).

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

It is a nialpdrome in base 12.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (16141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75 + ... + 194.

It is an arithmetic number, because the mean of its divisors is an integer number (1890).

216140 is an apocalyptic number.

16140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16140 is an abundant number, since it is smaller than the sum of its proper divisors (29220).

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22680).

16140 is a wasteful number, since it uses less digits than its factorization.

16140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281 (or 279 counting only the distinct ones).

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

The square root of 16140 is about 127.0432997053. The cubic root of 16140 is about 25.2717030669.

Adding to 16140 its reverse (4161), we get a triangular number (20301 = T201).

The spelling of 16140 in words is "sixteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 269 538 807 1076 1345 1614 2690 3228 4035 5380 8070 16140