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130072547 = 1147253101
BaseRepresentation
bin1111100000010…
…11111111100011
3100001202100222202
413300023333203
5231244310142
620523523415
73136412153
oct760137743
9301670882
10130072547
1167471480
123768956b
1320c42807
14133bc763
15b645032
hex7c0bfe3

130072547 has 24 divisors (see below), whose sum is σ = 149178672. Its totient is φ = 112424000.

The previous prime is 130072531. The next prime is 130072561. The reversal of 130072547 is 745270031.

It is not a de Polignac number, because 130072547 - 24 = 130072531 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130072577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1287797 + ... + 1287897.

It is an arithmetic number, because the mean of its divisors is an integer number (6215778).

Almost surely, 2130072547 is an apocalyptic number.

130072547 is a deficient number, since it is larger than the sum of its proper divisors (19106125).

130072547 is a wasteful number, since it uses less digits than its factorization.

130072547 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 29.

The square root of 130072547 is about 11404.9352036739. The cubic root of 130072547 is about 506.6739173035.

The spelling of 130072547 in words is "one hundred thirty million, seventy-two thousand, five hundred forty-seven".

Divisors: 1 11 47 53 101 517 583 1111 2209 2491 4747 5353 24299 27401 52217 58883 117077 223109 251591 1287847 2454199 2767501 11824777 130072547