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9760768 = 2122383
BaseRepresentation
bin100101001111…
…000000000000
3200100220020221
4211033000000
54444321033
6545112424
7145652023
oct45170000
920326227
109760768
115567456
123328714
132039a04
1414211ba
15ccc12d
hex94f000

9760768 has 26 divisors (see below), whose sum is σ = 19527344. Its totient is φ = 4878336.

The previous prime is 9760739. The next prime is 9760769. The reversal of 9760768 is 8670679.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9760769) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2905 + ... + 5287.

Almost surely, 29760768 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 9760768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9763672).

9760768 is an abundant number, since it is smaller than the sum of its proper divisors (9766576).

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

9760768 is an equidigital number, since it uses as much as digits as its factorization.

9760768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2407 (or 2385 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The square root of 9760768 is about 3124.2227833495. Note that the first 3 decimals coincide. The cubic root of 9760768 is about 213.7115512846.

The spelling of 9760768 in words is "nine million, seven hundred sixty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 2383 4096 4766 9532 19064 38128 76256 152512 305024 610048 1220096 2440192 4880384 9760768