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40506 = 2343157
BaseRepresentation
bin1001111000111010
32001120020
421320322
52244011
6511310
7226044
oct117072
961506
1040506
1128484
121b536
131558b
1410a94
15c006
hex9e3a

40506 has 16 divisors (see below), whose sum is σ = 83424. Its totient is φ = 13104.

The previous prime is 40499. The next prime is 40507. The reversal of 40506 is 60504.

It is an Ulam number.

It is a Curzon number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40507) by changing a digit.

40506 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 7 ways as a sum of consecutive naturals, for example, 180 + ... + 336.

It is an arithmetic number, because the mean of its divisors is an integer number (5214).

240506 is an apocalyptic number.

40506 is an abundant number, since it is smaller than the sum of its proper divisors (42918).

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 (41712).

40506 is a wasteful number, since it uses less digits than its factorization.

40506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205.

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 40506 is about 201.2610245428. The cubic root of 40506 is about 34.3431230658.

The spelling of 40506 in words is "forty thousand, five hundred six".

Divisors: 1 2 3 6 43 86 129 157 258 314 471 942 6751 13502 20253 40506