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2835117 = 32315013
BaseRepresentation
bin1010110100001010101101
312100001001100
422310022231
51211210432
6140433313
733045435
oct12641255
95301040
102835117
11166707a
12b48839
137835ac
1453b2c5
153b007c
hex2b42ad

2835117 has 6 divisors (see below), whose sum is σ = 4095182. Its totient is φ = 1890072.

The previous prime is 2835113. The next prime is 2835121. The reversal of 2835117 is 7115382.

2835117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2835113) and next prime (2835121).

It can be written as a sum of positive squares in only one way, i.e., 2653641 + 181476 = 1629^2 + 426^2 .

It is not a de Polignac number, because 2835117 - 22 = 2835113 is a prime.

It is a Duffinian number.

2835117 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2835113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 157498 + ... + 157515.

22835117 is an apocalyptic number.

It is an amenable number.

2835117 is a deficient number, since it is larger than the sum of its proper divisors (1260065).

2835117 is a wasteful number, since it uses less digits than its factorization.

2835117 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315019 (or 315016 counting only the distinct ones).

The product of its digits is 1680, while the sum is 27.

The square root of 2835117 is about 1683.7805676513. The cubic root of 2835117 is about 141.5327663675.

The spelling of 2835117 in words is "two million, eight hundred thirty-five thousand, one hundred seventeen".

Divisors: 1 3 9 315013 945039 2835117