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130670064 = 2433726173
BaseRepresentation
bin1111100100111…
…01110111110000
3100002212201122000
413302131313300
5231422420224
620544414000
73144451200
oct762356760
9302781560
10130670064
116783a398
1237917300
13210c1785
14134d6400
15b7120c9
hex7c9ddf0

130670064 has 120 divisors (see below), whose sum is σ = 436378320. Its totient is φ = 37328256.

The previous prime is 130670039. The next prime is 130670081. The reversal of 130670064 is 460076031.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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, 18082 + ... + 24254.

It is an arithmetic number, because the mean of its divisors is an integer number (3636486).

Almost surely, 2130670064 is an apocalyptic number.

130670064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130670064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218189160).

130670064 is an abundant number, since it is smaller than the sum of its proper divisors (305708256).

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

130670064 is a wasteful number, since it uses less digits than its factorization.

130670064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6204 (or 6185 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 130670064 is about 11431.1007344000. The cubic root of 130670064 is about 507.4485718794.

The spelling of 130670064 in words is "one hundred thirty million, six hundred seventy thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 49 54 56 63 72 84 98 108 112 126 144 147 168 189 196 216 252 294 336 378 392 432 441 504 588 756 784 882 1008 1176 1323 1512 1764 2352 2646 3024 3528 5292 6173 7056 10584 12346 18519 21168 24692 37038 43211 49384 55557 74076 86422 98768 111114 129633 148152 166671 172844 222228 259266 296304 302477 333342 345688 388899 444456 518532 604954 666684 691376 777798 888912 907431 1037064 1166697 1209908 1333368 1555596 1814862 2074128 2333394 2419816 2666736 2722293 3111192 3629724 4666788 4839632 5444586 6222384 7259448 8166879 9333576 10889172 14518896 16333758 18667152 21778344 32667516 43556688 65335032 130670064