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5780500 = 2253111051
BaseRepresentation
bin10110000011010000010100
3101212200100121
4112003100110
52434434000
6323521324
7100063525
oct26032024
911780317
105780500
113298a80
121b29244
13127511b
14aa684c
15792b1a
hex583414

5780500 has 48 divisors (see below), whose sum is σ = 13785408. Its totient is φ = 2100000.

The previous prime is 5780491. The next prime is 5780507. The reversal of 5780500 is 50875.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5780507) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4975 + ... + 6025.

It is an arithmetic number, because the mean of its divisors is an integer number (287196).

Almost surely, 25780500 is an apocalyptic number.

5780500 is a gapful number since it is divisible by the number (50) 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 5780500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6892704).

5780500 is an abundant number, since it is smaller than the sum of its proper divisors (8004908).

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

5780500 is a wasteful number, since it uses less digits than its factorization.

5780500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1081 (or 1069 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 5780500 is about 2404.2670400769. The cubic root of 5780500 is about 179.4685973262.

It can be divided in two parts, 5780 and 500, that multiplied together give a square (2890000 = 17002).

The spelling of 5780500 in words is "five million, seven hundred eighty thousand, five hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 125 220 250 275 500 550 1051 1100 1375 2102 2750 4204 5255 5500 10510 11561 21020 23122 26275 46244 52550 57805 105100 115610 131375 231220 262750 289025 525500 578050 1156100 1445125 2890250 5780500