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40415040 = 2632514033
BaseRepresentation
bin1001101000101…
…0111101000000
32211001022000100
42122022331000
540321240130
64002122400
71000344051
oct232127500
984038010
1040415040
11208a4466
1211650400
1384b0733
145520728
153834c60
hex268af40

40415040 has 84 divisors (see below), whose sum is σ = 139020804. Its totient is φ = 10776576.

The previous prime is 40415029. The next prime is 40415093. The reversal of 40415040 is 4051404.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 31270464 = 3024^2 + 5592^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 4137 + ... + 9896.

Almost surely, 240415040 is an apocalyptic number.

40415040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40415040 is an abundant number, since it is smaller than the sum of its proper divisors (98605764).

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

40415040 is a wasteful number, since it uses less digits than its factorization.

40415040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14056 (or 14043 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 40415040 is about 6357.2824382750. The cubic root of 40415040 is about 343.1739690430.

Adding to 40415040 its reverse (4051404), we get a palindrome (44466444).

The spelling of 40415040 in words is "forty million, four hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 14033 28066 42099 56132 70165 84198 112264 126297 140330 168396 210495 224528 252594 280660 336792 420990 449056 505188 561320 631485 673584 841980 898112 1010376 1122640 1262970 1347168 1683960 2020752 2245280 2525940 2694336 3367920 4041504 4490560 5051880 6735840 8083008 10103760 13471680 20207520 40415040