Search a number
-
+
40032590 = 25132931051
BaseRepresentation
bin1001100010110…
…1100101001110
32210022212101112
42120231211032
540222020330
63550012022
7664162043
oct230554516
983285345
1040032590
1120663094
12114a7012
1383a8630
1454611ca
1537ab795
hex262d94e

40032590 has 32 divisors (see below), whose sum is σ = 77940576. Its totient is φ = 14716800.

The previous prime is 40032583. The next prime is 40032593. The reversal of 40032590 is 9523004.

40032590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40032593) 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, 37565 + ... + 38615.

It is an arithmetic number, because the mean of its divisors is an integer number (2435643).

Almost surely, 240032590 is an apocalyptic number.

40032590 is a deficient number, since it is larger than the sum of its proper divisors (37907986).

40032590 is a wasteful number, since it uses less digits than its factorization.

40032590 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1364.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 40032590 is about 6327.1312614802. The cubic root of 40032590 is about 342.0880443155.

Adding to 40032590 its reverse (9523004), we get a palindrome (49555594).

The spelling of 40032590 in words is "forty million, thirty-two thousand, five hundred ninety".

Divisors: 1 2 5 10 13 26 65 130 293 586 1051 1465 2102 2930 3809 5255 7618 10510 13663 19045 27326 38090 68315 136630 307943 615886 1539715 3079430 4003259 8006518 20016295 40032590