Search a number
-
+
40513040 = 2451729789
BaseRepresentation
bin1001101010001…
…0111000010000
32211020021102222
42122202320100
540332404130
64004200212
71001232551
oct232427020
984207388
1040513040
1120961057
1211699068
138516219
145548328
153853ce5
hex26a2e10

40513040 has 40 divisors (see below), whose sum is σ = 99736920. Its totient is φ = 15251456.

The previous prime is 40513027. The next prime is 40513061. The reversal of 40513040 is 4031504.

It can be written as a sum of positive squares in 4 ways, for example, as 1175056 + 39337984 = 1084^2 + 6272^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13535 + ... + 16254.

It is an arithmetic number, because the mean of its divisors is an integer number (2493423).

Almost surely, 240513040 is an apocalyptic number.

40513040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40513040 is an abundant number, since it is smaller than the sum of its proper divisors (59223880).

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

40513040 is a wasteful number, since it uses less digits than its factorization.

40513040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29819 (or 29813 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 17.

The square root of 40513040 is about 6364.9854673833. The cubic root of 40513040 is about 343.4511257832.

Adding to 40513040 its reverse (4031504), we get a palindrome (44544544).

The spelling of 40513040 in words is "forty million, five hundred thirteen thousand, forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 29789 59578 119156 148945 238312 297890 476624 506413 595780 1012826 1191560 2025652 2383120 2532065 4051304 5064130 8102608 10128260 20256520 40513040