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130401 = 3214489
BaseRepresentation
bin11111110101100001
320121212200
4133311201
513133101
62443413
71052115
oct376541
9217780
10130401
1189a77
1263569
134747b
1435745
1528986
hex1fd61

130401 has 6 divisors (see below), whose sum is σ = 188370. Its totient is φ = 86928.

The previous prime is 130399. The next prime is 130409. The reversal of 130401 is 104031.

It can be written as a sum of positive squares in only one way, i.e., 90000 + 40401 = 300^2 + 201^2 .

It is not a de Polignac number, because 130401 - 21 = 130399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9), and also a Moran number because the ratio is a prime number: 14489 = 130401 / (1 + 3 + 0 + 4 + 0 + 1).

130401 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (130409) 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, 7236 + ... + 7253.

It is an arithmetic number, because the mean of its divisors is an integer number (31395).

2130401 is an apocalyptic number.

It is an amenable number.

130401 is a deficient number, since it is larger than the sum of its proper divisors (57969).

130401 is a wasteful number, since it uses less digits than its factorization.

130401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14495 (or 14492 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 130401 is about 361.1107863246. The cubic root of 130401 is about 50.7100035114.

Adding to 130401 its reverse (104031), we get a palindrome (234432).

It can be divided in two parts, 13040 and 1, that added together give a triangular number (13041 = T161).

The spelling of 130401 in words is "one hundred thirty thousand, four hundred one".

Divisors: 1 3 9 14489 43467 130401