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130756067 = 1373211653
BaseRepresentation
bin1111100101100…
…10110111100011
3100010001002121022
413302302313203
5231433143232
620550320055
73145260011
oct762626743
9303032538
10130756067
1167898a72
123795902b
1321121970
14135198b1
15b72c812
hex7cb2de3

130756067 has 16 divisors (see below), whose sum is σ = 143639328. Its totient is φ = 118298880.

The previous prime is 130756051. The next prime is 130756079. The reversal of 130756067 is 760657031.

It is a cyclic number.

It is not a de Polignac number, because 130756067 - 24 = 130756051 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130756267) 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, 199913 + ... + 200565.

It is an arithmetic number, because the mean of its divisors is an integer number (8977458).

Almost surely, 2130756067 is an apocalyptic number.

130756067 is a deficient number, since it is larger than the sum of its proper divisors (12883261).

130756067 is a wasteful number, since it uses less digits than its factorization.

130756067 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 950.

The product of its (nonzero) digits is 26460, while the sum is 35.

The square root of 130756067 is about 11434.8619143390. The cubic root of 130756067 is about 507.5598764559.

The spelling of 130756067 in words is "one hundred thirty million, seven hundred fifty-six thousand, sixty-seven".

Divisors: 1 13 73 211 653 949 2743 8489 15403 47669 137783 200239 619697 1791179 10058159 130756067