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61432560 = 24335717239
BaseRepresentation
bin1110101001011…
…0001011110000
311021121002122000
43222112023300
5111211320220
610032414000
71344111450
oct352261360
9137532560
1061432560
113174a212
12186a7300
13c95c037
148231d60
1555d7390
hex3a962f0

61432560 has 320 divisors, whose sum is σ = 257126400. Its totient is φ = 13160448.

The previous prime is 61432559. The next prime is 61432561. The reversal of 61432560 is 6523416.

61432560 is a `hidden beast` number, since 61 + 43 + 2 + 560 = 666.

61432560 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 (61432559) and next prime (61432561).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61432561) 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 63 ways as a sum of consecutive naturals, for example, 256921 + ... + 257159.

It is an arithmetic number, because the mean of its divisors is an integer number (803520).

Almost surely, 261432560 is an apocalyptic number.

61432560 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 61432560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128563200).

61432560 is an abundant number, since it is smaller than the sum of its proper divisors (195693840).

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

61432560 is a wasteful number, since it uses less digits than its factorization.

61432560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 61432560 is about 7837.8925739002. The cubic root of 61432560 is about 394.5780036303.

Adding to 61432560 its reverse (6523416), we get a palindrome (67955976).

The spelling of 61432560 in words is "sixty-one million, four hundred thirty-two thousand, five hundred sixty".