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40040715 = 35112131697
BaseRepresentation
bin1001100010111…
…1100100001011
32210100021112110
42120233210023
540222300330
63550113403
7664224531
oct230574413
983307473
1040040715
1120669200
12114ab863
1383ac240
145464151
1537addb0
hex262f90b

40040715 has 48 divisors (see below), whose sum is σ = 75880224. Its totient is φ = 17909760.

The previous prime is 40040713. The next prime is 40040717. The reversal of 40040715 is 51704004.

40040715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (40040713) and next prime (40040717).

It is not a de Polignac number, because 40040715 - 21 = 40040713 is a prime.

It is a super-2 number, since 2×400407152 = 3206517715422450, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40040691 and 40040700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40040711) 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 47 ways as a sum of consecutive naturals, for example, 22747 + ... + 24443.

It is an arithmetic number, because the mean of its divisors is an integer number (1580838).

Almost surely, 240040715 is an apocalyptic number.

40040715 is a deficient number, since it is larger than the sum of its proper divisors (35839509).

40040715 is a wasteful number, since it uses less digits than its factorization.

40040715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740 (or 1729 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 21.

The square root of 40040715 is about 6327.7733050418. The cubic root of 40040715 is about 342.1111861053. Note that the first 4 decimals are identical.

Adding to 40040715 its reverse (51704004), we get a palindrome (91744719).

It can be divided in two parts, 40040 and 715, that added together give a triangular number (40755 = T285).

The spelling of 40040715 in words is "forty million, forty thousand, seven hundred fifteen".

Divisors: 1 3 5 11 13 15 33 39 55 65 121 143 165 195 363 429 605 715 1573 1697 1815 2145 4719 5091 7865 8485 18667 22061 23595 25455 56001 66183 93335 110305 205337 242671 280005 330915 616011 728013 1026685 1213355 2669381 3080055 3640065 8008143 13346905 40040715