Search a number
-
+
40204100 = 22523371193
BaseRepresentation
bin1001100101011…
…1011101000100
32210122120122202
42121113131010
540243012400
63553414032
7665505056
oct231273504
983576582
1040204100
112076aa32
121156a318
138438711
1454a78d6
1537e24d5
hex2657744

40204100 has 36 divisors (see below), whose sum is σ = 87575124. Its totient is φ = 16020480.

The previous prime is 40204091. The next prime is 40204103. The reversal of 40204100 is 140204.

40204100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 2553604 + 37650496 = 1598^2 + 6136^2 .

It is not an unprimeable number, because it can be changed into a prime (40204103) 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 11 ways as a sum of consecutive naturals, for example, 33104 + ... + 34296.

Almost surely, 240204100 is an apocalyptic number.

It is an amenable number.

40204100 is an abundant number, since it is smaller than the sum of its proper divisors (47371024).

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

40204100 is a wasteful number, since it uses less digits than its factorization.

40204100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1544 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 40204100 is about 6340.6703115680. The cubic root of 40204100 is about 342.5758796129.

Adding to 40204100 its reverse (140204), we get a palindrome (40344304).

It can be divided in two parts, 40204 and 100, that added together give a palindrome (40304).

The spelling of 40204100 in words is "forty million, two hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 337 674 1193 1348 1685 2386 3370 4772 5965 6740 8425 11930 16850 23860 29825 33700 59650 119300 402041 804082 1608164 2010205 4020410 8040820 10051025 20102050 40204100