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5770080 = 253254007
BaseRepresentation
bin10110000000101101100000
3101212011001200
4112000231200
52434120310
6323401200
7100021251
oct26005540
911764050
105770080
113291168
121b23200
131270464
14aa2b28
1578e9c0
hex580b60

5770080 has 72 divisors (see below), whose sum is σ = 19695312. Its totient is φ = 1538304.

The previous prime is 5770073. The next prime is 5770097. The reversal of 5770080 is 800775.

5770080 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 564 + ... + 3443.

It is an arithmetic number, because the mean of its divisors is an integer number (273546).

Almost surely, 25770080 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 5770080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847656).

5770080 is an abundant number, since it is smaller than the sum of its proper divisors (13925232).

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

5770080 is a wasteful number, since it uses less digits than its factorization.

5770080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4028 (or 4017 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 5770080 is about 2402.0990820530. The cubic root of 5770080 is about 179.3606950354.

The spelling of 5770080 in words is "five million, seven hundred seventy thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4007 8014 12021 16028 20035 24042 32056 36063 40070 48084 60105 64112 72126 80140 96168 120210 128224 144252 160280 180315 192336 240420 288504 320560 360630 384672 480840 577008 641120 721260 961680 1154016 1442520 1923360 2885040 5770080