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40540960 = 255253381
BaseRepresentation
bin1001101010100…
…1101100100000
32211021200202001
42122221230200
540334302320
64004533344
71001410135
oct232515440
984250661
1040540960
1120980029
12116b1254
138525b45
14555458c
15385c20a
hex26a9b20

40540960 has 24 divisors (see below), whose sum is σ = 95778396. Its totient is φ = 16216320.

The previous prime is 40540957. The next prime is 40540961. The reversal of 40540960 is 6904504.

It can be written as a sum of positive squares in 2 ways, for example, as 38787984 + 1752976 = 6228^2 + 1324^2 .

It is not an unprimeable number, because it can be changed into a prime (40540961) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 126531 + ... + 126850.

Almost surely, 240540960 is an apocalyptic number.

40540960 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40540960 is an abundant number, since it is smaller than the sum of its proper divisors (55237436).

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

40540960 is a wasteful number, since it uses less digits than its factorization.

40540960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253396 (or 253388 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

The square root of 40540960 is about 6367.1783389505. The cubic root of 40540960 is about 343.5300053526.

The spelling of 40540960 in words is "forty million, five hundred forty thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 253381 506762 1013524 1266905 2027048 2533810 4054096 5067620 8108192 10135240 20270480 40540960