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2134593 = 3419273
BaseRepresentation
bin1000001001001001000001
311000110010000
420021021001
51021301333
6113430213
724100206
oct10111101
94013100
102134593
11122882a
1286b369
13599796
143d7cad
152c2713
hex209241

2134593 has 30 divisors (see below), whose sum is σ = 3411474. Its totient is φ = 1329696.

The previous prime is 2134589. The next prime is 2134609. The reversal of 2134593 is 3954312.

2134593 is nontrivially palindromic in base 2 and base 8.

It can be written as a sum of positive squares in only one way, i.e., 1871424 + 263169 = 1368^2 + 513^2 .

It is not a de Polignac number, because 2134593 - 22 = 2134589 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a d-powerful number, because it can be written as 211 + 1 + 37 + 4 + 59 + 92 + 311 .

It is not an unprimeable number, because it can be changed into a prime (2132593) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 29205 + ... + 29277.

22134593 is an apocalyptic number.

It is an amenable number.

2134593 is a deficient number, since it is larger than the sum of its proper divisors (1276881).

2134593 is an equidigital number, since it uses as much as digits as its factorization.

2134593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123 (or 95 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 2134593 is about 1461.0246404493. The cubic root of 2134593 is about 128.7572503536.

The spelling of 2134593 in words is "two million, one hundred thirty-four thousand, five hundred ninety-three".

Divisors: 1 3 9 19 27 57 73 81 171 219 361 513 657 1083 1387 1539 1971 3249 4161 5913 9747 12483 26353 29241 37449 79059 112347 237177 711531 2134593