Search a number
-
+
40131400 = 2352200657
BaseRepresentation
bin1001100100010…
…1101101001000
32210111212221011
42121011231020
540233201100
63552053304
7665053111
oct231055510
983455834
1040131400
1120720351
1211534234
1384115ba
145489208
1537cabba
hex2645b48

40131400 has 24 divisors (see below), whose sum is σ = 93305970. Its totient is φ = 16052480.

The previous prime is 40131397. The next prime is 40131409. The reversal of 40131400 is 413104.

It can be written as a sum of positive squares in 3 ways, for example, as 15984004 + 24147396 = 3998^2 + 4914^2 .

It is a super-2 number, since 2×401314002 = 3221058531920000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40131409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100129 + ... + 100528.

Almost surely, 240131400 is an apocalyptic number.

40131400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40131400 is an abundant number, since it is smaller than the sum of its proper divisors (53174570).

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

40131400 is a wasteful number, since it uses less digits than its factorization.

40131400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200673 (or 200664 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 40131400 is about 6334.9348852218. The cubic root of 40131400 is about 342.3692647536.

Adding to 40131400 its reverse (413104), we get a palindrome (40544504).

The spelling of 40131400 in words is "forty million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 200657 401314 802628 1003285 1605256 2006570 4013140 5016425 8026280 10032850 20065700 40131400