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830777147 = 19247317681
BaseRepresentation
bin110001100001001…
…010011100111011
32010220020211222222
4301201022130323
53200134332042
6214234234255
726405326544
oct6141123473
92126224888
10830777147
11396a52192
121b228598b
1310316a815
147c49b4cb
154ce062d2
hex3184a73b

830777147 has 8 divisors (see below), whose sum is σ = 874905360. Its totient is φ = 786689280.

The previous prime is 830777081. The next prime is 830777159. The reversal of 830777147 is 741777038.

830777147 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-830777147 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 830777098 and 830777107.

It is not an unprimeable number, because it can be changed into a prime (830777047) 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, 38147 + ... + 55827.

It is an arithmetic number, because the mean of its divisors is an integer number (109363170).

Almost surely, 2830777147 is an apocalyptic number.

830777147 is a deficient number, since it is larger than the sum of its proper divisors (44128213).

830777147 is a wasteful number, since it uses less digits than its factorization.

830777147 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20173.

The product of its (nonzero) digits is 230496, while the sum is 44.

The square root of 830777147 is about 28823.2050091589. The cubic root of 830777147 is about 940.0728580165.

The spelling of 830777147 in words is "eight hundred thirty million, seven hundred seventy-seven thousand, one hundred forty-seven".

Divisors: 1 19 2473 17681 46987 335939 43725113 830777147