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2134600 = 235213821
BaseRepresentation
bin1000001001001001001000
311000110010021
420021021020
51021301400
6113430224
724100216
oct10111110
94013107
102134600
111228836
1286b374
135997a0
143d7cb6
152c271a
hex209248

2134600 has 48 divisors (see below), whose sum is σ = 5351220. Its totient is φ = 787200.

The previous prime is 2134589. The next prime is 2134609. The reversal of 2134600 is 64312.

It can be written as a sum of positive squares in 6 ways, for example, as 224676 + 1909924 = 474^2 + 1382^2 .

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2134609) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2190 + ... + 3010.

22134600 is an apocalyptic number.

2134600 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 2134600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2675610).

2134600 is an abundant number, since it is smaller than the sum of its proper divisors (3216620).

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

2134600 is a wasteful number, since it uses less digits than its factorization.

2134600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 850 (or 841 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2134600 is about 1461.0270360264. The cubic root of 2134600 is about 128.7573910986.

Adding to 2134600 its reverse (64312), we get a palindrome (2198912).

The spelling of 2134600 in words is "two million, one hundred thirty-four thousand, six hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 821 1300 1642 2600 3284 4105 6568 8210 10673 16420 20525 21346 32840 41050 42692 53365 82100 85384 106730 164200 213460 266825 426920 533650 1067300 2134600