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130077 = 3297149
BaseRepresentation
bin11111110000011101
320121102200
4133300131
513130302
62442113
71051143
oct376035
9217380
10130077
1189802
1263339
134728c
1435593
152881c
hex1fc1d

130077 has 12 divisors (see below), whose sum is σ = 191100. Its totient is φ = 85248.

The previous prime is 130073. The next prime is 130079. The reversal of 130077 is 770031.

It can be written as a sum of positive squares in 2 ways, for example, as 34596 + 95481 = 186^2 + 309^2 .

It is not a de Polignac number, because 130077 - 22 = 130073 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130073) 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 11 ways as a sum of consecutive naturals, for example, 799 + ... + 947.

It is an arithmetic number, because the mean of its divisors is an integer number (15925).

2130077 is an apocalyptic number.

It is an amenable number.

130077 is a deficient number, since it is larger than the sum of its proper divisors (61023).

130077 is a wasteful number, since it uses less digits than its factorization.

130077 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 147, while the sum is 18.

The square root of 130077 is about 360.6618915272. The cubic root of 130077 is about 50.6679699188.

The spelling of 130077 in words is "one hundred thirty thousand, seventy-seven".

Divisors: 1 3 9 97 149 291 447 873 1341 14453 43359 130077