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1307684168 = 237210133029
BaseRepresentation
bin100110111110001…
…1010110101001000
310101010122020102222
41031330122311020
510134231343133
6333432113212
744256063200
oct11574326510
93333566388
101307684168
1161117651a
12305b35808
1317abc871b
14c5961400
1579c0be98
hex4df1ad48

1307684168 has 48 divisors (see below), whose sum is σ = 2880546300. Its totient is φ = 554870400.

The previous prime is 1307684167. The next prime is 1307684171. The reversal of 1307684168 is 8614867031.

It can be written as a sum of positive squares in 2 ways, for example, as 1297584484 + 10099684 = 36022^2 + 3178^2 .

It is not an unprimeable number, because it can be changed into a prime (1307684167) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23078 + ... + 56106.

Almost surely, 21307684168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307684168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1440273150).

1307684168 is an abundant number, since it is smaller than the sum of its proper divisors (1572862132).

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

1307684168 is a wasteful number, since it uses less digits than its factorization.

1307684168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33150 (or 33139 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The square root of 1307684168 is about 36161.9159890623. The cubic root of 1307684168 is about 1093.5390308830.

The spelling of 1307684168 in words is "one billion, three hundred seven million, six hundred eighty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 101 196 202 392 404 707 808 1414 2828 4949 5656 9898 19796 33029 39592 66058 132116 231203 264232 462406 924812 1618421 1849624 3236842 3335929 6473684 6671858 12947368 13343716 23351503 26687432 46703006 93406012 163460521 186812024 326921042 653842084 1307684168