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40540820 = 22517311717
BaseRepresentation
bin1001101010100…
…1101010010100
32211021200112212
42122221222110
540334301240
64004532552
71001406545
oct232515224
984250485
1040540820
112097aa11
12116b1158
138525a68
1455544cc
15385c165
hex26a9a94

40540820 has 24 divisors (see below), whose sum is σ = 85635144. Its totient is φ = 16121216.

The previous prime is 40540817. The next prime is 40540823. The reversal of 40540820 is 2804504.

It is an interprime number because it is at equal distance from previous prime (40540817) and next prime (40540823).

It can be written as a sum of positive squares in 4 ways, for example, as 1628176 + 38912644 = 1276^2 + 6238^2 .

It is a zygodrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40540823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2399 + ... + 9318.

It is an arithmetic number, because the mean of its divisors is an integer number (3568131).

Almost surely, 240540820 is an apocalyptic number.

It is an amenable number.

40540820 is an abundant number, since it is smaller than the sum of its proper divisors (45094324).

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

40540820 is a wasteful number, since it uses less digits than its factorization.

40540820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 40540820 is about 6367.1673450601. The cubic root of 40540820 is about 343.5296099150.

The spelling of 40540820 in words is "forty million, five hundred forty thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1730 3460 11717 23434 46868 58585 117170 234340 2027041 4054082 8108164 10135205 20270410 40540820