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5665000 = 235411103
BaseRepresentation
bin10101100111000011101000
3101122210220211
4111213003220
52422240000
6321230504
766103015
oct25470350
911583824
105665000
11321a220
121a92434
131234693
14a7670c
1576d7ba
hex5670e8

5665000 has 80 divisors (see below), whose sum is σ = 14620320. Its totient is φ = 2040000.

The previous prime is 5664991. The next prime is 5665013. The reversal of 5665000 is 5665.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 54949 + ... + 55051.

It is an arithmetic number, because the mean of its divisors is an integer number (182754).

Almost surely, 25665000 is an apocalyptic number.

5665000 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 5665000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7310160).

5665000 is an abundant number, since it is smaller than the sum of its proper divisors (8955320).

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

5665000 is a wasteful number, since it uses less digits than its factorization.

5665000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 22.

The square root of 5665000 is about 2380.1260470824. The cubic root of 5665000 is about 178.2652276306.

5665000 divided by its reverse (5665) gives a cube (1000 = 103).

It can be divided in two parts, 56 and 65000, that added together give a palindrome (65056).

The spelling of 5665000 in words is "five million, six hundred sixty-five thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 103 110 125 200 206 220 250 275 412 440 500 515 550 625 824 1000 1030 1100 1133 1250 1375 2060 2200 2266 2500 2575 2750 4120 4532 5000 5150 5500 5665 6875 9064 10300 11000 11330 12875 13750 20600 22660 25750 27500 28325 45320 51500 55000 56650 64375 103000 113300 128750 141625 226600 257500 283250 515000 566500 708125 1133000 1416250 2832500 5665000