Search a number
-
+
2180040 = 233537491
BaseRepresentation
bin1000010100001111001000
311002202110020
420110033020
51024230130
6114420440
724346542
oct10241710
94082406
102180040
111259995
12891720
135b4385
1440a692
152d0e10
hex2143c8

2180040 has 64 divisors (see below), whose sum is σ = 6730560. Its totient is φ = 564480.

The previous prime is 2180039. The next prime is 2180051. The reversal of 2180040 is 400812.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 4195 + ... + 4685.

It is an arithmetic number, because the mean of its divisors is an integer number (105165).

22180040 is an apocalyptic number.

2180040 is a gapful number since it is divisible by the number (20) 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 2180040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3365280).

2180040 is an abundant number, since it is smaller than the sum of its proper divisors (4550520).

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

2180040 is a wasteful number, since it uses less digits than its factorization.

2180040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2180040 is about 1476.4958516704. The cubic root of 2180040 is about 129.6646187435.

Adding to 2180040 its reverse (400812), we get a palindrome (2580852).

The spelling of 2180040 in words is "two million, one hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 37 40 60 74 111 120 148 185 222 296 370 444 491 555 740 888 982 1110 1473 1480 1964 2220 2455 2946 3928 4440 4910 5892 7365 9820 11784 14730 18167 19640 29460 36334 54501 58920 72668 90835 109002 145336 181670 218004 272505 363340 436008 545010 726680 1090020 2180040