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65643040 = 255834943
BaseRepresentation
bin1111101001101…
…0001000100000
311120112000022201
43322122020200
5113301034130
610302542544
71424646061
oct372321040
9146460281
1065643040
1134065651
1219b97a54
13107a4648
148a0a568
155b69bca
hex3e9a220

65643040 has 48 divisors (see below), whose sum is σ = 156981888. Its totient is φ = 25935616.

The previous prime is 65643029. The next prime is 65643041. The reversal of 65643040 is 4034656.

It is not an unprimeable number, because it can be changed into a prime (65643041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10809 + ... + 15751.

It is an arithmetic number, because the mean of its divisors is an integer number (3270456).

Almost surely, 265643040 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 65643040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78490944).

65643040 is an abundant number, since it is smaller than the sum of its proper divisors (91338848).

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

65643040 is a wasteful number, since it uses less digits than its factorization.

65643040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5041 (or 5033 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 65643040 is about 8102.0392494729. The cubic root of 65643040 is about 403.3941184409.

Adding to 65643040 its reverse (4034656), we get a palindrome (69677696).

It can be divided in two parts, 6564 and 3040, that added together give a square (9604 = 982).

The spelling of 65643040 in words is "sixty-five million, six hundred forty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 83 160 166 332 415 664 830 1328 1660 2656 3320 4943 6640 9886 13280 19772 24715 39544 49430 79088 98860 158176 197720 395440 410269 790880 820538 1641076 2051345 3282152 4102690 6564304 8205380 13128608 16410760 32821520 65643040