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134583201 = 3412892
BaseRepresentation
bin10000000010110…
…01001110100001
3100101020112110000
420001121032201
5233423130301
621204330213
73222636564
oct1001311641
9311215400
10134583201
1169a72395
12390a3969
1321b6193c
1413c344db
15bc36786
hex80593a1

134583201 has 15 divisors (see below), whose sum is σ = 201200131. Its totient is φ = 89652528.

The previous prime is 134583191. The next prime is 134583221. The reversal of 134583201 is 102385431.

It is a happy number.

The square root of 134583201 is 11601.

It is a perfect power (a square), and thus also a powerful number.

134583201 is a `hidden beast` number, since 1 + 3 + 458 + 3 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 109181601 + 25401600 = 10449^2 + 5040^2 .

It is not a de Polignac number, because 134583201 - 29 = 134582689 is a prime.

It is a super-2 number, since 2×1345832012 = 36225275982812802, which contains 22 as substring.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (134583221) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 103765 + ... + 105053.

Almost surely, 2134583201 is an apocalyptic number.

134583201 is the 11601-st square number.

134583201 is the 5801-st centered octagonal number.

It is an amenable number.

134583201 is a deficient number, since it is larger than the sum of its proper divisors (66616930).

134583201 is an frugal number, since it uses more digits than its factorization.

134583201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2590 (or 1292 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 134583201 is about 512.4643017768.

The spelling of 134583201 in words is "one hundred thirty-four million, five hundred eighty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 1289 3867 11601 34803 104409 1661521 4984563 14953689 44861067 134583201