Search a number
-
+
5662000 = 245319149
BaseRepresentation
bin10101100110010100110000
3101122122210201
4111212110300
52422141000
6321204544
766061201
oct25462460
911578721
105662000
113217a43
121a90754
1312331c6
14a755a8
1576c96a
hex566530

5662000 has 80 divisors (see below), whose sum is σ = 14508000. Its totient is φ = 2131200.

The previous prime is 5661991. The next prime is 5662039. The reversal of 5662000 is 2665.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 37926 + ... + 38074.

It is an arithmetic number, because the mean of its divisors is an integer number (181350).

Almost surely, 25662000 is an apocalyptic number.

5662000 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 5662000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7254000).

5662000 is an abundant number, since it is smaller than the sum of its proper divisors (8846000).

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

5662000 is a wasteful number, since it uses less digits than its factorization.

5662000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 5662000 is about 2379.4957449006. The cubic root of 5662000 is about 178.2337542493.

Adding to 5662000 its reverse (2665), we get a palindrome (5664665).

The spelling of 5662000 in words is "five million, six hundred sixty-two thousand".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 125 149 152 190 200 250 298 304 380 400 475 500 596 745 760 950 1000 1192 1490 1520 1900 2000 2375 2384 2831 2980 3725 3800 4750 5662 5960 7450 7600 9500 11324 11920 14155 14900 18625 19000 22648 28310 29800 37250 38000 45296 56620 59600 70775 74500 113240 141550 149000 226480 283100 298000 353875 566200 707750 1132400 1415500 2831000 5662000