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130005924 = 22310833827
BaseRepresentation
bin1111011111110…
…11101110100100
3100001121222121020
413233323232210
5231240142144
620522251140
73136014006
oct757735644
9301558536
10130005924
1167426414
1237656ab0
1320c1b3a9
14133a2376
15b630419
hex7bfbba4

130005924 has 12 divisors (see below), whose sum is σ = 303347184. Its totient is φ = 43335304.

The previous prime is 130005907. The next prime is 130005973. The reversal of 130005924 is 429500031.

130005924 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (12).

It is a junction number, because it is equal to n+sod(n) for n = 130005894 and 130005903.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 5416902 + ... + 5416925.

It is an arithmetic number, because the mean of its divisors is an integer number (25278932).

Almost surely, 2130005924 is an apocalyptic number.

It is an amenable number.

130005924 is an abundant number, since it is smaller than the sum of its proper divisors (173341260).

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

130005924 is a wasteful number, since it uses less digits than its factorization.

130005924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10833834 (or 10833832 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 130005924 is about 11402.0140326172. The cubic root of 130005924 is about 506.5873966090.

Adding to 130005924 its reverse (429500031), we get a palindrome (559505955).

The spelling of 130005924 in words is "one hundred thirty million, five thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 12 10833827 21667654 32501481 43335308 65002962 130005924