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5778320 = 24572229
BaseRepresentation
bin10110000010101110010000
3101212120100212
4112002232100
52434401240
6323503252
7100054262
oct26025620
911776325
105778320
113297379
121b27b28
131274132
14aa5b32
15792165
hex582b90

5778320 has 20 divisors (see below), whose sum is σ = 13434780. Its totient is φ = 2311296.

The previous prime is 5778319. The next prime is 5778329. The reversal of 5778320 is 238775.

It can be written as a sum of positive squares in 2 ways, for example, as 1401856 + 4376464 = 1184^2 + 2092^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a d-powerful number, because it can be written as 55 + 7 + 78 + 8 + 37 + 213 + 0 .

It is not an unprimeable number, because it can be changed into a prime (5778329) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 36035 + ... + 36194.

It is an arithmetic number, because the mean of its divisors is an integer number (671739).

Almost surely, 25778320 is an apocalyptic number.

It is an amenable number.

5778320 is an abundant number, since it is smaller than the sum of its proper divisors (7656460).

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

5778320 is a wasteful number, since it uses less digits than its factorization.

5778320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72242 (or 72236 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 5778320 is about 2403.8136367031. The cubic root of 5778320 is about 179.4460334918.

The spelling of 5778320 in words is "five million, seven hundred seventy-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 72229 144458 288916 361145 577832 722290 1155664 1444580 2889160 5778320