Search a number
-
+
40353540 = 22351016659
BaseRepresentation
bin1001100111101…
…1111100000100
32210221011122120
42121323330010
540312303130
64000525540
7666666543
oct231737404
983834576
1040353540
1120862237
12116208b0
13848b746
14550615a
153821910
hex267bf04

40353540 has 48 divisors (see below), whose sum is σ = 114125760. Its totient is φ = 10652800.

The previous prime is 40353527. The next prime is 40353541. The reversal of 40353540 is 4535304.

It is a happy number.

It is a nialpdrome in base 7.

It is a self number, because there is not a number n which added to its sum of digits gives 40353540.

It is not an unprimeable number, because it can be changed into a prime (40353541) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2731 + ... + 9389.

It is an arithmetic number, because the mean of its divisors is an integer number (2377620).

Almost surely, 240353540 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 40353540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57062880).

40353540 is an abundant number, since it is smaller than the sum of its proper divisors (73772220).

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

40353540 is a wasteful number, since it uses less digits than its factorization.

40353540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6772 (or 6770 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 40353540 is about 6352.4436243071. The cubic root of 40353540 is about 342.9998101697. Note that the first 3 decimals are identical.

Adding to 40353540 its reverse (4535304), we get a palindrome (44888844).

The spelling of 40353540 in words is "forty million, three hundred fifty-three thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 6659 13318 19977 26636 33295 39954 66590 79908 99885 133180 199770 399540 672559 1345118 2017677 2690236 3362795 4035354 6725590 8070708 10088385 13451180 20176770 40353540