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130272567 = 3834431181
BaseRepresentation
bin1111100001111…
…00110100110111
3100002010112100220
413300330310313
5231322210232
620532105423
73141204255
oct760746467
9302115326
10130272567
1167598787
1237765273
1320cb2879
14134315d5
15b68442c
hex7c3cd37

130272567 has 16 divisors (see below), whose sum is σ = 176335488. Its totient is φ = 85535840.

The previous prime is 130272563. The next prime is 130272577. The reversal of 130272567 is 765272031.

It is a cyclic number.

It is not a de Polignac number, because 130272567 - 22 = 130272563 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130272563) 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 15 ways as a sum of consecutive naturals, for example, 109717 + ... + 110897.

It is an arithmetic number, because the mean of its divisors is an integer number (11020968).

Almost surely, 2130272567 is an apocalyptic number.

130272567 is a deficient number, since it is larger than the sum of its proper divisors (46062921).

130272567 is a wasteful number, since it uses less digits than its factorization.

130272567 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1710.

The product of its (nonzero) digits is 17640, while the sum is 33.

The square root of 130272567 is about 11413.7008459132. The cubic root of 130272567 is about 506.9334981186.

The spelling of 130272567 in words is "one hundred thirty million, two hundred seventy-two thousand, five hundred sixty-seven".

Divisors: 1 3 83 249 443 1181 1329 3543 36769 98023 110307 294069 523183 1569549 43424189 130272567