Search a number
-
+
1307395890 = 2365199439
BaseRepresentation
bin100110111101101…
…0100011100110010
310101010002121000000
41031323110130302
510134143132030
6333422010430
744253452553
oct11573243462
93333077000
101307395890
11610a99979
12305a16a16
1317ab27448
14c58c832a
1579ba1860
hex4ded4732

1307395890 has 112 divisors (see below), whose sum is σ = 3714451200. Its totient is φ = 330254496.

The previous prime is 1307395889. The next prime is 1307395907. The reversal of 1307395890 is 985937031.

It is a happy number.

1307395890 is a `hidden beast` number, since 1 + 30 + 7 + 39 + 589 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 55 ways as a sum of consecutive naturals, for example, 133791 + ... + 143229.

Almost surely, 21307395890 is an apocalyptic number.

1307395890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1307395890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1857225600).

1307395890 is an abundant number, since it is smaller than the sum of its proper divisors (2407055310).

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

1307395890 is an equidigital number, since it uses as much as digits as its factorization.

1307395890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9483 (or 9468 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 1307395890 is about 36157.9298356529. The cubic root of 1307395890 is about 1093.4586683560.

The spelling of 1307395890 in words is "one billion, three hundred seven million, three hundred ninety-five thousand, eight hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 243 270 285 342 405 486 513 570 729 810 855 1026 1215 1458 1539 1710 2430 2565 3078 3645 4617 5130 7290 7695 9234 9439 13851 15390 18878 23085 27702 28317 46170 47195 56634 69255 84951 94390 138510 141585 169902 179341 254853 283170 358682 424755 509706 538023 764559 849510 896705 1076046 1274265 1529118 1614069 1793410 2293677 2548530 2690115 3228138 3822795 4587354 4842207 5380230 6881031 7645590 8070345 9684414 11468385 13762062 14526621 16140690 22936770 24211035 29053242 34405155 43579863 48422070 68810310 72633105 87159726 130739589 145266210 217899315 261479178 435798630 653697945 1307395890