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2138592 = 25322277
BaseRepresentation
bin1000001010000111100000
311000122121010
420022013200
51021413332
6113500520
724114651
oct10120740
94018533
102138592
111230835
12871740
1359b551
143d9528
152c39cc
hex20a1e0

2138592 has 24 divisors (see below), whose sum is σ = 5614056. Its totient is φ = 712832.

The previous prime is 2138569. The next prime is 2138593. The reversal of 2138592 is 2958312.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138593) 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 3 ways as a sum of consecutive naturals, for example, 11043 + ... + 11234.

It is an arithmetic number, because the mean of its divisors is an integer number (233919).

22138592 is an apocalyptic number.

It is an amenable number.

2138592 is an abundant number, since it is smaller than the sum of its proper divisors (3475464).

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

2138592 is a wasteful number, since it uses less digits than its factorization.

2138592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22290 (or 22282 counting only the distinct ones).

The product of its digits is 4320, while the sum is 30.

The square root of 2138592 is about 1462.3925601561. The cubic root of 2138592 is about 128.8376058806.

The spelling of 2138592 in words is "two million, one hundred thirty-eight thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 22277 44554 66831 89108 133662 178216 267324 356432 534648 712864 1069296 2138592