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5780376 = 233373823
BaseRepresentation
bin10110000011001110011000
3101212200012000
4112003032120
52434433001
6323521000
7100063260
oct26031630
911780160
105780376
113298978
121b29160
131275054
14aa67a0
15792a86
hex583398

5780376 has 64 divisors (see below), whose sum is σ = 18355200. Its totient is φ = 1651104.

The previous prime is 5780347. The next prime is 5780387. The reversal of 5780376 is 6730875.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5780376.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 400 + ... + 3423.

It is an arithmetic number, because the mean of its divisors is an integer number (286800).

Almost surely, 25780376 is an apocalyptic number.

5780376 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5780376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9177600).

5780376 is an abundant number, since it is smaller than the sum of its proper divisors (12574824).

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

5780376 is a wasteful number, since it uses less digits than its factorization.

5780376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3845 (or 3835 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 5780376 is about 2404.2412524537. The cubic root of 5780376 is about 179.4673140309.

The spelling of 5780376 in words is "five million, seven hundred eighty thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1512 3823 7646 11469 15292 22938 26761 30584 34407 45876 53522 68814 80283 91752 103221 107044 137628 160566 206442 214088 240849 275256 321132 412884 481698 642264 722547 825768 963396 1445094 1926792 2890188 5780376