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5780480 = 21051129
BaseRepresentation
bin10110000011010000000000
3101212200022212
4112003100000
52434433410
6323521252
7100063466
oct26032000
911780285
105780480
113298a62
121b29228
131275104
14aa6836
15792b05
hex583400

5780480 has 44 divisors (see below), whose sum is σ = 13878660. Its totient is φ = 2310144.

The previous prime is 5780443. The next prime is 5780491. The reversal of 5780480 is 840875.

It can be written as a sum of positive squares in 2 ways, for example, as 1183744 + 4596736 = 1088^2 + 2144^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 4556 + ... + 5684.

Almost surely, 25780480 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 5780480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939330).

5780480 is an abundant number, since it is smaller than the sum of its proper divisors (8098180).

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

5780480 is a wasteful number, since it uses less digits than its factorization.

5780480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1154 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 32.

The square root of 5780480 is about 2404.2628808015. The cubic root of 5780480 is about 179.4683903444.

The spelling of 5780480 in words is "five million, seven hundred eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1129 1280 2258 2560 4516 5120 5645 9032 11290 18064 22580 36128 45160 72256 90320 144512 180640 289024 361280 578048 722560 1156096 1445120 2890240 5780480