Search a number
-
+
1307868016 = 24721329871
BaseRepresentation
bin100110111110100…
…0111101101110000
310101010222120122011
41031331013231300
510134303234031
6333440052304
744260460200
oct11575075560
93333876564
101307868016
11611291664
12306004094
1317ac61300
14c59ac400
1579c466b1
hex4df47b70

1307868016 has 90 divisors (see below), whose sum is σ = 3192219792. Its totient is φ = 517345920.

The previous prime is 1307868011. The next prime is 1307868031. The reversal of 1307868016 is 6108687031.

It is a self number, because there is not a number n which added to its sum of digits gives 1307868016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1307868011) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 127561 + ... + 137431.

Almost surely, 21307868016 is an apocalyptic number.

1307868016 is a gapful number since it is divisible by the number (16) 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 1307868016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1596109896).

1307868016 is an abundant number, since it is smaller than the sum of its proper divisors (1884351776).

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

1307868016 is a wasteful number, since it uses less digits than its factorization.

1307868016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9919 (or 9893 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The square root of 1307868016 is about 36164.4579110485. The cubic root of 1307868016 is about 1093.5902755560.

The spelling of 1307868016 in words is "one billion, three hundred seven million, eight hundred sixty-eight thousand, sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 49 52 56 91 98 104 112 169 182 196 208 338 364 392 637 676 728 784 1183 1274 1352 1456 2366 2548 2704 4732 5096 8281 9464 9871 10192 16562 18928 19742 33124 39484 66248 69097 78968 128323 132496 138194 157936 256646 276388 483679 513292 552776 898261 967358 1026584 1105552 1668199 1796522 1934716 2053168 3336398 3593044 3869432 6287827 6672796 7186088 7738864 11677393 12575654 13345592 14372176 23354786 25151308 26691184 46709572 50302616 81741751 93419144 100605232 163483502 186838288 326967004 653934008 1307868016