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16040 = 235401
BaseRepresentation
bin11111010101000
3211000002
43322220
51003130
6202132
764523
oct37250
924002
1016040
1111062
129348
1373bb
145bba
154b45
hex3ea8

16040 has 16 divisors (see below), whose sum is σ = 36180. Its totient is φ = 6400.

The previous prime is 16033. The next prime is 16057. The reversal of 16040 is 4061.

It can be written as a sum of positive squares in 2 ways, for example, as 14884 + 1156 = 122^2 + 34^2 .

It is a nialpdrome in base 4.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 16040.

It is an unprimeable number.

16040 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 161 + ... + 240.

216040 is an apocalyptic number.

16040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16040 is an abundant number, since it is smaller than the sum of its proper divisors (20140).

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 (18090).

16040 is a wasteful number, since it uses less digits than its factorization.

16040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 16040 is about 126.6491215919. The cubic root of 16040 is about 25.2194022074.

It can be divided in two parts, 160 and 40, that multiplied together give a square (6400 = 802).

The spelling of 16040 in words is "sixteen thousand, forty".