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61640640 = 26325171259
BaseRepresentation
bin1110101100100…
…0111111000000
311021222200001200
43223020333000
5111240000030
610041101200
71345636215
oct353107700
9137880050
1061640640
1131881586
1218787800
13ca02969
148287b0c
155628d60
hex3ac8fc0

61640640 has 168 divisors, whose sum is σ = 224668080. Its totient is φ = 15458304.

The previous prime is 61640633. The next prime is 61640647. The reversal of 61640640 is 4604616.

61640640 is a `hidden beast` number, since 6 + 16 + 4 + 0 + 640 = 666.

61640640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61640633) and next prime (61640647).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61640647) 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 23 ways as a sum of consecutive naturals, for example, 48331 + ... + 49589.

It is an arithmetic number, because the mean of its divisors is an integer number (1337310).

Almost surely, 261640640 is an apocalyptic number.

61640640 is a gapful number since it is divisible by the number (60) 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 61640640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

61640640 is an abundant number, since it is smaller than the sum of its proper divisors (163027440).

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

61640640 is a wasteful number, since it uses less digits than its factorization.

61640640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1299 (or 1286 counting only the distinct ones).

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

The square root of 61640640 is about 7851.1553289946. The cubic root of 61640640 is about 395.0229971122.

The spelling of 61640640 in words is "sixty-one million, six hundred forty thousand, six hundred forty".