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130414515 = 35711112913
BaseRepresentation
bin1111100010111…
…11011110110011
3100002101202002020
413301133132303
5231341231030
620535122523
73142335150
oct761373663
9302352066
10130414515
11676853a0
1237813443
132103236a
141346b227
15b6b1510
hex7c5f7b3

130414515 has 32 divisors (see below), whose sum is σ = 260153856. Its totient is φ = 54197760.

The previous prime is 130414511. The next prime is 130414517. The reversal of 130414515 is 515414031.

It is a happy number.

It is not a de Polignac number, because 130414515 - 22 = 130414511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130414511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55302 + ... + 57611.

It is an arithmetic number, because the mean of its divisors is an integer number (8129808).

Almost surely, 2130414515 is an apocalyptic number.

130414515 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

130414515 is a deficient number, since it is larger than the sum of its proper divisors (129739341).

130414515 is a wasteful number, since it uses less digits than its factorization.

130414515 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112939.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 130414515 is about 11419.9174690538. The cubic root of 130414515 is about 507.1175534366.

Adding to 130414515 its reverse (515414031), we get a palindrome (645828546).

The spelling of 130414515 in words is "one hundred thirty million, four hundred fourteen thousand, five hundred fifteen".

Divisors: 1 3 5 7 11 15 21 33 35 55 77 105 165 231 385 1155 112913 338739 564565 790391 1242043 1693695 2371173 3726129 3951955 6210215 8694301 11855865 18630645 26082903 43471505 130414515