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3135993 = 37149333
BaseRepresentation
bin1011111101100111111001
312220022202220
423331213321
51300322433
6151114253
735440560
oct13754771
95808686
103135993
111852133
121072989
1385a523
145b8bd7
1541e2b3
hex2fd9f9

3135993 has 8 divisors (see below), whose sum is σ = 4778688. Its totient is φ = 1791984.

The previous prime is 3135983. The next prime is 3136019. The reversal of 3135993 is 3995313.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 3135993 - 25 = 3135961 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3135943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 74646 + ... + 74687.

It is an arithmetic number, because the mean of its divisors is an integer number (597336).

Almost surely, 23135993 is an apocalyptic number.

It is an amenable number.

3135993 is a deficient number, since it is larger than the sum of its proper divisors (1642695).

3135993 is a wasteful number, since it uses less digits than its factorization.

3135993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149343.

The product of its digits is 10935, while the sum is 33.

The square root of 3135993 is about 1770.8735132697. The cubic root of 3135993 is about 146.3721194929.

The spelling of 3135993 in words is "three million, one hundred thirty-five thousand, nine hundred ninety-three".

Divisors: 1 3 7 21 149333 447999 1045331 3135993