Search a number
-
+
40236180 = 22356710009
BaseRepresentation
bin1001100101111…
…1010010010100
32210201012122220
42121133102110
540300024210
63554222340
7666000435
oct231372224
983635586
1040236180
1120792046
12115849b0
13844a1ba
1454b548c
1537ebc70
hex265f494

40236180 has 48 divisors (see below), whose sum is σ = 114354240. Its totient is φ = 10568448.

The previous prime is 40236179. The next prime is 40236181. The reversal of 40236180 is 8163204.

It is a happy number.

40236180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40236179) and next prime (40236181).

It is a self number, because there is not a number n which added to its sum of digits gives 40236180.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40236181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 985 + ... + 9024.

It is an arithmetic number, because the mean of its divisors is an integer number (2382380).

Almost surely, 240236180 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40236180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57177120).

40236180 is an abundant number, since it is smaller than the sum of its proper divisors (74118060).

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

40236180 is a wasteful number, since it uses less digits than its factorization.

40236180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10088 (or 10086 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 40236180 is about 6343.1995081347. The cubic root of 40236180 is about 342.6669724158. Note that the first 3 decimals are identical.

Adding to 40236180 its reverse (8163204), we get a palindrome (48399384).

The spelling of 40236180 in words is "forty million, two hundred thirty-six thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 67 134 201 268 335 402 670 804 1005 1340 2010 4020 10009 20018 30027 40036 50045 60054 100090 120108 150135 200180 300270 600540 670603 1341206 2011809 2682412 3353015 4023618 6706030 8047236 10059045 13412060 20118090 40236180