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40504560 = 2435168769
BaseRepresentation
bin1001101010000…
…0110011110000
32211012211210220
42122200303300
540332121220
64004053040
71001166045
oct232406360
984184726
1040504560
1120955748
1211694180
1385123c5
1455451cc
153851540
hex26a0cf0

40504560 has 40 divisors (see below), whose sum is σ = 125564880. Its totient is φ = 10801152.

The previous prime is 40504559. The next prime is 40504567. The reversal of 40504560 is 6540504.

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 40504560.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40504567) 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 7 ways as a sum of consecutive naturals, for example, 84145 + ... + 84624.

It is an arithmetic number, because the mean of its divisors is an integer number (3139122).

Almost surely, 240504560 is an apocalyptic number.

40504560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40504560 is an abundant number, since it is smaller than the sum of its proper divisors (85060320).

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

40504560 is a wasteful number, since it uses less digits than its factorization.

40504560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168785 (or 168779 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 24.

The square root of 40504560 is about 6364.3192880307. The cubic root of 40504560 is about 343.4271609167.

The spelling of 40504560 in words is "forty million, five hundred four thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 168769 337538 506307 675076 843845 1012614 1350152 1687690 2025228 2531535 2700304 3375380 4050456 5063070 6750760 8100912 10126140 13501520 20252280 40504560