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2134100 = 225221341
BaseRepresentation
bin1000001001000001010100
311000102102202
420021001110
51021242400
6113424032
724065603
oct10110124
94012382
102134100
111228421
1286b018
135994a7
143d7a3a
152c24d5
hex209054

2134100 has 18 divisors (see below), whose sum is σ = 4631214. Its totient is φ = 853600.

The previous prime is 2134087. The next prime is 2134109. The reversal of 2134100 is 14312.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 698896 + 1435204 = 836^2 + 1198^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134109) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10571 + ... + 10770.

22134100 is an apocalyptic number.

2134100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134100 is an abundant number, since it is smaller than the sum of its proper divisors (2497114).

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

2134100 is a wasteful number, since it uses less digits than its factorization.

2134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21355 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 2134100 is about 1460.8559134973. The cubic root of 2134100 is about 128.7473371115.

Adding to 2134100 its reverse (14312), we get a palindrome (2148412).

The spelling of 2134100 in words is "two million, one hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 21341 42682 85364 106705 213410 426820 533525 1067050 2134100