Search a number
-
+
40290 = 2351779
BaseRepresentation
bin1001110101100010
32001021020
421311202
52242130
6510310
7225315
oct116542
961236
1040290
11282a8
121b396
1315453
141097c
15be10
hex9d62

40290 has 32 divisors (see below), whose sum is σ = 103680. Its totient is φ = 9984.

The previous prime is 40289. The next prime is 40343. The reversal of 40290 is 9204.

40290 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 471 + ... + 549.

It is an arithmetic number, because the mean of its divisors is an integer number (3240).

240290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51840).

40290 is an abundant number, since it is smaller than the sum of its proper divisors (63390).

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

40290 is a wasteful number, since it uses less digits than its factorization.

40290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106.

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 40290 is about 200.7236906795. The cubic root of 40290 is about 34.2819688369.

Adding to 40290 its reverse (9204), we get a palindrome (49494).

The spelling of 40290 in words is "forty thousand, two hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 79 85 102 158 170 237 255 395 474 510 790 1185 1343 2370 2686 4029 6715 8058 13430 20145 40290