Search a number
-
+
65880768 = 263418369
BaseRepresentation
bin1111101101010…
…0001011000000
311120222002102110
43323110023000
5113331141033
610312015320
71426656132
oct373241300
9146862373
1065880768
1134208218
121a091540
1310858905
148a6d052
155bb5363
hex3ed42c0

65880768 has 56 divisors (see below), whose sum is σ = 178582320. Its totient is φ = 21422080.

The previous prime is 65880761. The next prime is 65880791. The reversal of 65880768 is 86708856.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (65880761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3688 + ... + 12056.

It is an arithmetic number, because the mean of its divisors is an integer number (3188970).

Almost surely, 265880768 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 65880768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89291160).

65880768 is an abundant number, since it is smaller than the sum of its proper divisors (112701552).

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

65880768 is a wasteful number, since it uses less digits than its factorization.

65880768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8425 (or 8415 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The square root of 65880768 is about 8116.6968651047. The cubic root of 65880768 is about 403.8804992440.

The spelling of 65880768 in words is "sixty-five million, eight hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 164 192 246 328 492 656 984 1312 1968 2624 3936 7872 8369 16738 25107 33476 50214 66952 100428 133904 200856 267808 343129 401712 535616 686258 803424 1029387 1372516 1606848 2058774 2745032 4117548 5490064 8235096 10980128 16470192 21960256 32940384 65880768