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5120768 = 2883241
BaseRepresentation
bin10011100010001100000000
3100122011101002
4103202030000
52302331033
6301431132
761345232
oct23421400
910564332
105120768
112988344
12186b4a8
1310a3a53
14974252
156b23e8
hex4e2300

5120768 has 36 divisors (see below), whose sum is σ = 10387608. Its totient is φ = 2519040.

The previous prime is 5120737. The next prime is 5120809. The reversal of 5120768 is 8670215.

5120768 is a modest number, since divided by 768 gives 512 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 5120768.

It is an unprimeable number.

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 in 3 ways as a sum of consecutive naturals, for example, 21128 + ... + 21368.

Almost surely, 25120768 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 5120768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5193804).

5120768 is an abundant number, since it is smaller than the sum of its proper divisors (5266840).

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

5120768 is an equidigital number, since it uses as much as digits as its factorization.

5120768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The square root of 5120768 is about 2262.9113990610. The cubic root of 5120768 is about 172.3633925105.

The spelling of 5120768 in words is "five million, one hundred twenty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 83 128 166 241 256 332 482 664 964 1328 1928 2656 3856 5312 7712 10624 15424 20003 21248 30848 40006 61696 80012 160024 320048 640096 1280192 2560384 5120768