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40194 = 23271129
BaseRepresentation
bin1001110100000010
32001010200
421310002
52241234
6510030
7225120
oct116402
961120
1040194
1128220
121b316
13153ab
1410910
15bd99
hex9d02

40194 has 48 divisors (see below), whose sum is σ = 112320. Its totient is φ = 10080.

The previous prime is 40193. The next prime is 40213. The reversal of 40194 is 49104.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40193) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1372 + ... + 1400.

It is an arithmetic number, because the mean of its divisors is an integer number (2340).

240194 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56160).

40194 is an abundant number, since it is smaller than the sum of its proper divisors (72126).

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

40194 is a wasteful number, since it uses less digits than its factorization.

40194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 40194 is about 200.4844133592. The cubic root of 40194 is about 34.2547190116.

Adding to 40194 its reverse (49104), we get a palindrome (89298).

The spelling of 40194 in words is "forty thousand, one hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 29 33 42 58 63 66 77 87 99 126 154 174 198 203 231 261 319 406 462 522 609 638 693 957 1218 1386 1827 1914 2233 2871 3654 4466 5742 6699 13398 20097 40194