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40569840 = 2432529267
BaseRepresentation
bin1001101011000…
…0101111110000
32211100011100200
42122300233300
540341213330
64005315200
71001560263
oct232605760
984304320
1040569840
112099a7a3
1211705b00
13853602c
145560cda
153865a60
hex26b0bf0

40569840 has 180 divisors, whose sum is σ = 143213304. Its totient is φ = 10289664.

The previous prime is 40569839. The next prime is 40569847. The reversal of 40569840 is 4896504.

40569840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 40569795 and 40569804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40569847) 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 35 ways as a sum of consecutive naturals, for example, 605487 + ... + 605553.

Almost surely, 240569840 is an apocalyptic number.

40569840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40569840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71606652).

40569840 is an abundant number, since it is smaller than the sum of its proper divisors (102643464).

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

40569840 is a wasteful number, since it uses less digits than its factorization.

40569840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 40569840 is about 6369.4458157676. The cubic root of 40569840 is about 343.6115590180.

The spelling of 40569840 in words is "forty million, five hundred sixty-nine thousand, eight hundred forty".