Search a number
-
+
2134200 = 233523557
BaseRepresentation
bin1000001001000010111000
311000102120110
420021002320
51021243300
6113424320
724066105
oct10110270
94012513
102134200
111228502
1286b0a0
13599553
143d7aac
152c2550
hex2090b8

2134200 has 48 divisors (see below), whose sum is σ = 6617880. Its totient is φ = 568960.

The previous prime is 2134183. The next prime is 2134201. The reversal of 2134200 is 24312.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1179 + ... + 2378.

22134200 is an apocalyptic number.

2134200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134200 is an abundant number, since it is smaller than the sum of its proper divisors (4483680).

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

2134200 is a wasteful number, since it uses less digits than its factorization.

2134200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3576 (or 3567 counting only the distinct ones).

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

The square root of 2134200 is about 1460.8901396067. The cubic root of 2134200 is about 128.7493480345.

Adding to 2134200 its reverse (24312), we get a palindrome (2158512).

The spelling of 2134200 in words is "two million, one hundred thirty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 3557 7114 10671 14228 17785 21342 28456 35570 42684 53355 71140 85368 88925 106710 142280 177850 213420 266775 355700 426840 533550 711400 1067100 2134200