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2135601 = 321318253
BaseRepresentation
bin1000001001011000110001
311000111111100
420021120301
51021314401
6113435013
724103146
oct10113061
94014440
102135601
111229566
1286ba69
1359a090
143d83cd
152c2b86
hex209631

2135601 has 12 divisors (see below), whose sum is σ = 3322228. Its totient is φ = 1314144.

The previous prime is 2135597. The next prime is 2135611. The reversal of 2135601 is 1065312.

2135601 = 2742 + 2752 + ... + 2992.

It can be written as a sum of positive squares in 2 ways, for example, as 104976 + 2030625 = 324^2 + 1425^2 .

It is not a de Polignac number, because 2135601 - 22 = 2135597 is a prime.

It is a Curzon number.

It is a zygodrome in base 3.

It is not an unprimeable number, because it can be changed into a prime (2135611) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9010 + ... + 9243.

22135601 is an apocalyptic number.

It is an amenable number.

2135601 is a deficient number, since it is larger than the sum of its proper divisors (1186627).

2135601 is a wasteful number, since it uses less digits than its factorization.

2135601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18272 (or 18269 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2135601 is about 1461.3695631154. The cubic root of 2135601 is about 128.7775144640. Note that the first 3 decimals are identical.

The spelling of 2135601 in words is "two million, one hundred thirty-five thousand, six hundred one".

Divisors: 1 3 9 13 39 117 18253 54759 164277 237289 711867 2135601