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130727712 = 2533793593
BaseRepresentation
bin1111100101010…
…11111100100000
3100002222122201010
413302223330200
5231431241322
620545540520
73145111233
oct762537440
9302878633
10130727712
1167879735
1237944740
1321111a9b
141350d41a
15b72420c
hex7cabf20

130727712 has 48 divisors (see below), whose sum is σ = 344161440. Its totient is φ = 43448832.

The previous prime is 130727689. The next prime is 130727719. The reversal of 130727712 is 217727031.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 130727712.

It is not an unprimeable number, because it can be changed into a prime (130727719) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34588 + ... + 38180.

It is an arithmetic number, because the mean of its divisors is an integer number (7170030).

Almost surely, 2130727712 is an apocalyptic number.

130727712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130727712 is an abundant number, since it is smaller than the sum of its proper divisors (213433728).

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

130727712 is a wasteful number, since it uses less digits than its factorization.

130727712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3985 (or 3977 counting only the distinct ones).

The product of its (nonzero) digits is 4116, while the sum is 30.

The square root of 130727712 is about 11433.6219982996. The cubic root of 130727712 is about 507.5231849762.

The spelling of 130727712 in words is "one hundred thirty million, seven hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 379 758 1137 1516 2274 3032 3593 4548 6064 7186 9096 10779 12128 14372 18192 21558 28744 36384 43116 57488 86232 114976 172464 344928 1361747 2723494 4085241 5446988 8170482 10893976 16340964 21787952 32681928 43575904 65363856 130727712