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40661460 = 22335731347
BaseRepresentation
bin1001101100011…
…1000111010100
32211111211001000
42123013013110
540402131320
64011303300
71002421350
oct233070724
984454030
1040661460
1120a52614
121174ab30
138568948
145586460
153882c90
hex26c71d4

40661460 has 192 divisors, whose sum is σ = 149667840. Its totient is φ = 8968320.

The previous prime is 40661459. The next prime is 40661473. The reversal of 40661460 is 6416604.

40661460 is a `hidden beast` number, since 40 + 6 + 614 + 6 + 0 = 666.

40661460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 117007 + ... + 117353.

It is an arithmetic number, because the mean of its divisors is an integer number (779520).

Almost surely, 240661460 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40661460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74833920).

40661460 is an abundant number, since it is smaller than the sum of its proper divisors (109006380).

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

40661460 is a wasteful number, since it uses less digits than its factorization.

40661460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 40661460 is about 6376.6339082623. The cubic root of 40661460 is about 343.8700270660.

40661460 divided by its sum of digits (27) gives a triangular number (1505980 = T1735).

The spelling of 40661460 in words is "forty million, six hundred sixty-one thousand, four hundred sixty".