Search a number
-
+
2060400 = 2435217101
BaseRepresentation
bin111110111000001110000
310212200100010
413313001300
51011413100
6112054520
723340666
oct7670160
93780303
102060400
111188011
12834440
13571a94
143b8c36
152aa750
hex1f7070

2060400 has 120 divisors (see below), whose sum is σ = 7057584. Its totient is φ = 512000.

The previous prime is 2060389. The next prime is 2060407. The reversal of 2060400 is 40602.

2060400 = T331 + T332 + ... + T364.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2060407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 20350 + ... + 20450.

22060400 is an apocalyptic number.

2060400 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 2060400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528792).

2060400 is an abundant number, since it is smaller than the sum of its proper divisors (4997184).

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

2060400 is a wasteful number, since it uses less digits than its factorization.

2060400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2060400 is about 1435.4093492798. The cubic root of 2060400 is about 127.2478677482.

The spelling of 2060400 in words is "two million, sixty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 25 30 34 40 48 50 51 60 68 75 80 85 100 101 102 120 136 150 170 200 202 204 240 255 272 300 303 340 400 404 408 425 505 510 600 606 680 808 816 850 1010 1020 1200 1212 1275 1360 1515 1616 1700 1717 2020 2040 2424 2525 2550 3030 3400 3434 4040 4080 4848 5050 5100 5151 6060 6800 6868 7575 8080 8585 10100 10200 10302 12120 13736 15150 17170 20200 20400 20604 24240 25755 27472 30300 34340 40400 41208 42925 51510 60600 68680 82416 85850 103020 121200 128775 137360 171700 206040 257550 343400 412080 515100 686800 1030200 2060400