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2133828 = 223259273
BaseRepresentation
bin1000001000111101000100
311000102001200
420020331010
51021240303
6113422500
724065034
oct10107504
94012050
102133828
1112281a4
1286aa30
13599328
143d78c4
152c23a3
hex208f44

2133828 has 18 divisors (see below), whose sum is σ = 5393934. Its totient is φ = 711264.

The previous prime is 2133821. The next prime is 2133839. The reversal of 2133828 is 8283312.

It can be written as a sum of positive squares in only one way, i.e., 1855044 + 278784 = 1362^2 + 528^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2133821) 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, 29601 + ... + 29672.

It is an arithmetic number, because the mean of its divisors is an integer number (299663).

22133828 is an apocalyptic number.

It is an amenable number.

2133828 is an abundant number, since it is smaller than the sum of its proper divisors (3260106).

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

2133828 is a wasteful number, since it uses less digits than its factorization.

2133828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59283 (or 59278 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

The square root of 2133828 is about 1460.7628144227. The cubic root of 2133828 is about 128.7418670830.

The spelling of 2133828 in words is "two million, one hundred thirty-three thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59273 118546 177819 237092 355638 533457 711276 1066914 2133828