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2135820 = 223535597
BaseRepresentation
bin1000001001011100001100
311000111210110
420021130030
51021321240
6113440020
724103611
oct10113414
94014713
102135820
111229745
12870010
1359a1cb
143d8508
152c2c80
hex20970c

2135820 has 24 divisors (see below), whose sum is σ = 5980464. Its totient is φ = 569536.

The previous prime is 2135797. The next prime is 2135831. The reversal of 2135820 is 285312.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17739 + ... + 17858.

It is an arithmetic number, because the mean of its divisors is an integer number (249186).

22135820 is an apocalyptic number.

2135820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135820 is an abundant number, since it is smaller than the sum of its proper divisors (3844644).

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

2135820 is a wasteful number, since it uses less digits than its factorization.

2135820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35609 (or 35607 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 2135820 is about 1461.4444909062. Note that the first 4 decimals coincide. The cubic root of 2135820 is about 128.7819162400.

The spelling of 2135820 in words is "two million, one hundred thirty-five thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 35597 71194 106791 142388 177985 213582 355970 427164 533955 711940 1067910 2135820