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40014 = 2341319
BaseRepresentation
bin1001110001001110
32000220000
421301032
52240024
6505130
7224442
oct116116
960800
1040014
1128077
121b1a6
13152a0
1410822
15bcc9
hex9c4e

40014 has 40 divisors (see below), whose sum is σ = 101640. Its totient is φ = 11664.

The previous prime is 40013. The next prime is 40031. The reversal of 40014 is 41004.

40014 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 super-2 number, since 2×400142 = 3202240392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 39978 and 40005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40013) 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, 2097 + ... + 2115.

It is an arithmetic number, because the mean of its divisors is an integer number (2541).

240014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50820).

40014 is an abundant number, since it is smaller than the sum of its proper divisors (61626).

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

40014 is a wasteful number, since it uses less digits than its factorization.

40014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46 (or 37 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 40014 is about 200.0349969380. The cubic root of 40014 is about 34.2035084120.

Adding to 40014 its reverse (41004), we get a palindrome (81018).

Subtracting 40014 from its reverse (41004), we obtain a triangular number (990 = T44).

It can be divided in two parts, 4001 and 4, that added together give a triangular number (4005 = T89).

The spelling of 40014 in words is "forty thousand, fourteen", and thus it is an iban number.

Divisors: 1 2 3 6 9 13 18 19 26 27 38 39 54 57 78 81 114 117 162 171 234 247 342 351 494 513 702 741 1026 1053 1482 1539 2106 2223 3078 4446 6669 13338 20007 40014