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361580130 = 23254017557
BaseRepresentation
bin10101100011010…
…100011001100010
3221012101011200200
4111203110121202
51220031031010
655513530030
711650244322
oct2543243142
9835334620
10361580130
1117611455a
12a1113916
1359bac052
1436043282
1521b24cc0
hex158d4662

361580130 has 24 divisors (see below), whose sum is σ = 940108572. Its totient is φ = 96421344.

The previous prime is 361580117. The next prime is 361580147. The reversal of 361580130 is 31085163.

It can be written as a sum of positive squares in 2 ways, for example, as 320016321 + 41563809 = 17889^2 + 6447^2 .

It is a junction number, because it is equal to n+sod(n) for n = 361580094 and 361580103.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2008689 + ... + 2008868.

Almost surely, 2361580130 is an apocalyptic number.

361580130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

361580130 is an abundant number, since it is smaller than the sum of its proper divisors (578528442).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

361580130 is a wasteful number, since it uses less digits than its factorization.

361580130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4017570 (or 4017567 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 361580130 is about 19015.2604504908. The cubic root of 361580130 is about 712.4179480766.

The spelling of 361580130 in words is "three hundred sixty-one million, five hundred eighty thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 4017557 8035114 12052671 20087785 24105342 36158013 40175570 60263355 72316026 120526710 180790065 361580130