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65730042 = 23571392
BaseRepresentation
bin1111101010111…
…1010111111010
311120200102200000
43322233113322
5113311330132
610304453430
71425460530
oct372572772
9146612600
1065730042
1134114a54
121a01a276
1310805121
148a30150
155b8587c
hex3eaf5fa

65730042 has 72 divisors (see below), whose sum is σ = 170011296. Its totient is φ = 18644904.

The previous prime is 65730029. The next prime is 65730043. The reversal of 65730042 is 24003756.

It is a happy number.

65730042 is a `hidden beast` number, since 657 + 3 + 0 + 0 + 4 + 2 = 666.

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

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 65729988 and 65730015.

It is not an unprimeable number, because it can be changed into a prime (65730043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 472809 + ... + 472947.

It is an arithmetic number, because the mean of its divisors is an integer number (2361268).

Almost surely, 265730042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65730042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85005648).

65730042 is an abundant number, since it is smaller than the sum of its proper divisors (104281254).

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

65730042 is an equidigital number, since it uses as much as digits as its factorization.

65730042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 65730042 is about 8107.4066137082. The cubic root of 65730042 is about 403.5722566526.

Adding to 65730042 its reverse (24003756), we get a palindrome (89733798).

The spelling of 65730042 in words is "sixty-five million, seven hundred thirty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 139 162 189 243 278 378 417 486 567 834 973 1134 1251 1701 1946 2502 2919 3402 3753 5838 7506 8757 11259 17514 19321 22518 26271 33777 38642 52542 57963 67554 78813 115926 135247 157626 173889 236439 270494 347778 405741 472878 521667 811482 1043334 1217223 1565001 2434446 3130002 3651669 4695003 7303338 9390006 10955007 21910014 32865021 65730042